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42888409524 = 22331275935273
BaseRepresentation
bin100111111100010110…
…010011000110110100
311002200222002221111000
4213330112103012310
51200313413101044
631411435243300
73045546315552
oct477426230664
9132628087430
1042888409524
1117209430954
12838b2a9530
1340765c581c
14210c046bd2
1511b0386d69
hex9fc5931b4

42888409524 has 96 divisors (see below), whose sum is σ = 112277975040. Its totient is φ = 14156964864.

The previous prime is 42888409519. The next prime is 42888409549. The reversal of 42888409524 is 42590488824.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8130952 + ... + 8136224.

It is an arithmetic number, because the mean of its divisors is an integer number (1169562240).

Almost surely, 242888409524 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 42888409524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56138987520).

42888409524 is an abundant number, since it is smaller than the sum of its proper divisors (69389565516).

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

42888409524 is a wasteful number, since it uses less digits than its factorization.

42888409524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006 (or 5998 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 42888409524 in words is "forty-two billion, eight hundred eighty-eight million, four hundred nine thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 593 762 1143 1186 1524 1779 2286 2372 3429 3558 4572 5273 5337 6858 7116 10546 10674 13716 15819 16011 21092 21348 31638 32022 47457 63276 64044 75311 94914 142371 150622 189828 225933 284742 301244 451866 569484 669671 677799 903732 1339342 1355598 2009013 2033397 2678684 2711196 3126889 4018026 4066794 6027039 6253778 8036052 8133588 9380667 12054078 12507556 18081117 18761334 24108156 28142001 36162234 37522668 56284002 72324468 84426003 112568004 168852006 337704012 397114903 794229806 1191344709 1588459612 2382689418 3574034127 4765378836 7148068254 10722102381 14296136508 21444204762 42888409524