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87428460924 = 223271791938203
BaseRepresentation
bin101000101101100100…
…1000111000101111100
322100200001001222200100
41101123021013011330
52413023141222144
6104055235201100
76213362441040
oct1213311070574
9270601058610
1087428460924
11340950a5792
1214b3b746190
13832413591c
144335588020
15241a71e269
hex145b24717c

87428460924 has 72 divisors (see below), whose sum is σ = 253982252160. Its totient is φ = 24839996832.

The previous prime is 87428460901. The next prime is 87428460929. The reversal of 87428460924 is 42906482478.

87428460924 is a `hidden beast` number, since 8 + 7 + 4 + 2 + 8 + 4 + 609 + 24 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87428460929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 923994 + ... + 1014209.

It is an arithmetic number, because the mean of its divisors is an integer number (3527531280).

Almost surely, 287428460924 is an apocalyptic number.

87428460924 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

87428460924 is an abundant number, since it is smaller than the sum of its proper divisors (166553791236).

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

87428460924 is a wasteful number, since it uses less digits than its factorization.

87428460924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938399 (or 1938394 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 87428460924 in words is "eighty-seven billion, four hundred twenty-eight million, four hundred sixty thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 179 252 358 537 716 1074 1253 1611 2148 2506 3222 3759 5012 6444 7518 11277 15036 22554 45108 1938203 3876406 5814609 7752812 11629218 13567421 17443827 23258436 27134842 34887654 40702263 54269684 69775308 81404526 122106789 162809052 244213578 346938337 488427156 693876674 1040815011 1387753348 2081630022 2428568359 3122445033 4163260044 4857136718 6244890066 7285705077 9714273436 12489780132 14571410154 21857115231 29142820308 43714230462 87428460924