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52468704 = 253223892
BaseRepresentation
bin1100100000100…
…1101111100000
310122201200112100
43020021233200
5101412444304
65112330400
71204655661
oct310115740
9118650470
1052468704
1127687572
12156a3a00
13ab40c92
146d7b368
154916439
hex3209be0

52468704 has 108 divisors (see below), whose sum is σ = 157464216. Its totient is φ = 16541184.

The previous prime is 52468679. The next prime is 52468721. The reversal of 52468704 is 40786425.

52468704 is a `hidden beast` number, since 524 + 68 + 70 + 4 = 666.

It is a super-3 number, since 3×524687043 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 589492 + ... + 589580.

It is an arithmetic number, because the mean of its divisors is an integer number (1458002).

Almost surely, 252468704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52468704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78732108).

52468704 is an abundant number, since it is smaller than the sum of its proper divisors (104995512).

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

52468704 is a wasteful number, since it uses less digits than its factorization.

52468704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 52468704 is about 7243.5284219778. The cubic root of 52468704 is about 374.3692008414.

The spelling of 52468704 in words is "fifty-two million, four hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 89 92 96 138 144 178 184 207 267 276 288 356 368 414 534 552 712 736 801 828 1068 1104 1424 1602 1656 2047 2136 2208 2848 3204 3312 4094 4272 6141 6408 6624 7921 8188 8544 12282 12816 15842 16376 18423 23763 24564 25632 31684 32752 36846 47526 49128 63368 65504 71289 73692 95052 98256 126736 142578 147384 182183 190104 196512 253472 285156 294768 364366 380208 546549 570312 589536 728732 760416 1093098 1140624 1457464 1639647 2186196 2281248 2914928 3279294 4372392 5829856 6558588 8744784 13117176 17489568 26234352 52468704