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48812568 = 23372943233
BaseRepresentation
bin1011101000110…
…1001000011000
310101211221020220
42322031020120
544444000233
64502120040
71131620460
oct272151030
9111757226
1048812568
112560a672
1214420020
13a160a9c
1466a8ba0
154442eb3
hex2e8d218

48812568 has 128 divisors (see below), whose sum is σ = 148262400. Its totient is φ = 13095936.

The previous prime is 48812567. The next prime is 48812573. The reversal of 48812568 is 86521884.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48812563) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 209380 + ... + 209612.

It is an arithmetic number, because the mean of its divisors is an integer number (1158300).

Almost surely, 248812568 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 48812568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74131200).

48812568 is an abundant number, since it is smaller than the sum of its proper divisors (99449832).

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

48812568 is a wasteful number, since it uses less digits than its factorization.

48812568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 317 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 48812568 is about 6986.5991727020. The cubic root of 48812568 is about 365.4633959212.

The spelling of 48812568 in words is "forty-eight million, eight hundred twelve thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 43 56 58 84 86 87 116 129 168 172 174 203 232 233 258 301 344 348 406 466 516 602 609 696 699 812 903 932 1032 1204 1218 1247 1398 1624 1631 1806 1864 2408 2436 2494 2796 3262 3612 3741 4872 4893 4988 5592 6524 6757 7224 7482 8729 9786 9976 10019 13048 13514 14964 17458 19572 20038 20271 26187 27028 29928 30057 34916 39144 40076 40542 47299 52374 54056 60114 69832 70133 80152 81084 94598 104748 120228 140266 141897 162168 189196 209496 210399 240456 280532 283794 290551 378392 420798 561064 567588 581102 841596 871653 1135176 1162204 1683192 1743306 2033857 2324408 3486612 4067714 6101571 6973224 8135428 12203142 16270856 24406284 48812568