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48605256 = 23327223599
BaseRepresentation
bin1011100101101…
…0100001001000
310101110101212200
42321122201020
544420332011
64453440200
71130065200
oct271324110
9111411780
1048605256
1125488937
1214340060
13a0ba60b
146653400
154401856
hex2e5a848

48605256 has 144 divisors (see below), whose sum is σ = 160056000. Its totient is φ = 13261248.

The previous prime is 48605243. The next prime is 48605267. The reversal of 48605256 is 65250684.

48605256 is a `hidden beast` number, since 48 + 605 + 2 + 5 + 6 = 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 48605256.

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 35 ways as a sum of consecutive naturals, for example, 80845 + ... + 81443.

It is an arithmetic number, because the mean of its divisors is an integer number (1111500).

Almost surely, 248605256 is an apocalyptic number.

48605256 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 48605256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80028000).

48605256 is an abundant number, since it is smaller than the sum of its proper divisors (111450744).

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

48605256 is a wasteful number, since it uses less digits than its factorization.

48605256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 48605256 is about 6971.7469833608. The cubic root of 48605256 is about 364.9452748378.

The spelling of 48605256 in words is "forty-eight million, six hundred five thousand, two hundred fifty-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 98 126 138 147 161 168 184 196 207 252 276 294 322 392 414 441 483 504 552 588 599 644 828 882 966 1127 1176 1198 1288 1449 1656 1764 1797 1932 2254 2396 2898 3381 3528 3594 3864 4193 4508 4792 5391 5796 6762 7188 8386 9016 10143 10782 11592 12579 13524 13777 14376 16772 20286 21564 25158 27048 27554 29351 33544 37737 40572 41331 43128 50316 55108 58702 75474 81144 82662 88053 96439 100632 110216 117404 123993 150948 165324 176106 192878 234808 247986 264159 289317 301896 330648 352212 385756 495972 528318 578634 675073 704424 771512 867951 991944 1056636 1157268 1350146 1735902 2025219 2113272 2314536 2700292 3471804 4050438 5400584 6075657 6943608 8100876 12151314 16201752 24302628 48605256