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4152057336 = 2332722351169
BaseRepresentation
bin1111011101111011…
…0101110111111000
3101201100211100220100
43313132311313320
532000411313321
61524000555400
7204614622300
oct36736656770
911640740810
104152057336
111840801149
1297a622b60
13512290b7b
142b5616600
151947ae326
hexf77b5df8

4152057336 has 144 divisors (see below), whose sum is σ = 13650109200. Its totient is φ = 1134701568.

The previous prime is 4152057317. The next prime is 4152057337. The reversal of 4152057336 is 6337502514.

4152057336 is a `hidden beast` number, since 4 + 1 + 52 + 0 + 573 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4152057336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4152057337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55560 + ... + 106728.

It is an arithmetic number, because the mean of its divisors is an integer number (94792425).

Almost surely, 24152057336 is an apocalyptic number.

4152057336 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4152057336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6825054600).

4152057336 is an abundant number, since it is smaller than the sum of its proper divisors (9498051864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4152057336 is a wasteful number, since it uses less digits than its factorization.

4152057336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51218 (or 51204 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 4152057336 is about 64436.4596792841. The cubic root of 4152057336 is about 1607.2660848480.

The spelling of 4152057336 in words is "four billion, one hundred fifty-two million, fifty-seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 49 56 63 69 72 84 92 98 126 138 147 161 168 184 196 207 252 276 294 322 392 414 441 483 504 552 588 644 828 882 966 1127 1176 1288 1449 1656 1764 1932 2254 2898 3381 3528 3864 4508 5796 6762 9016 10143 11592 13524 20286 27048 40572 51169 81144 102338 153507 204676 307014 358183 409352 460521 614028 716366 921042 1074549 1176887 1228056 1432732 1842084 2149098 2353774 2507281 2865464 3223647 3530661 3684168 4298196 4707548 5014562 6447294 7061322 7521843 8238209 8596392 9415096 10029124 10591983 12894588 14122644 15043686 16476418 20058248 21183966 22565529 24714627 25789176 28245288 30087372 32952836 42367932 45131058 49429254 57667463 60174744 65905672 74143881 84735864 90262116 98858508 115334926 148287762 173002389 180524232 197717016 230669852 296575524 346004778 461339704 519007167 593151048 692009556 1038014334 1384019112 2076028668 4152057336