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874763568 = 243272273823
BaseRepresentation
bin110100001000111…
…101010100110000
32020222000121000200
4310020331110300
53242414413233
6222445115200
730451240050
oct6410752460
92228017020
10874763568
114098658a8
12204b58b00
1310c2cb9a3
148426b560
1551be4313
hex3423d530

874763568 has 120 divisors (see below), whose sum is σ = 2810915328. Its totient is φ = 248766336.

The previous prime is 874763567. The next prime is 874763573. The reversal of 874763568 is 865367478.

874763568 is a `hidden beast` number, since 8 + 7 + 4 + 76 + 3 + 568 = 666.

It is a super-2 number, since 2×8747635682 = 1530422599800181248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (874763567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226905 + ... + 230727.

Almost surely, 2874763568 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 874763568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405457664).

874763568 is an abundant number, since it is smaller than the sum of its proper divisors (1936151760).

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

874763568 is a wasteful number, since it uses less digits than its factorization.

874763568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4062 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 874763568 is about 29576.4022152797. The cubic root of 874763568 is about 956.3794354075.

The spelling of 874763568 in words is "eight hundred seventy-four million, seven hundred sixty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 227 252 336 454 504 681 908 1008 1362 1589 1816 2043 2724 3178 3632 3823 4086 4767 5448 6356 7646 8172 9534 10896 11469 12712 14301 15292 16344 19068 22938 25424 26761 28602 30584 32688 34407 38136 45876 53522 57204 61168 68814 76272 80283 91752 107044 114408 137628 160566 183504 214088 228816 240849 275256 321132 428176 481698 550512 642264 867821 963396 1284528 1735642 1926792 2603463 3471284 3853584 5206926 6074747 6942568 7810389 10413852 12149494 13885136 15620778 18224241 20827704 24298988 31241556 36448482 41655408 48597976 54672723 62483112 72896964 97195952 109345446 124966224 145793928 218690892 291587856 437381784 874763568