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157419904 = 273743773
BaseRepresentation
bin10010110001000…
…00100110000000
3101222012202111211
421120200212000
5310244414104
623342015504
73621022105
oct1130404600
9358182454
10157419904
118094a9a4
1244877594
13267c9295
1416c9aaac
15dc47e04
hex9620980

157419904 has 64 divisors (see below), whose sum is σ = 330002640. Its totient is φ = 74704896.

The previous prime is 157419893. The next prime is 157419919. The reversal of 157419904 is 409914751.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203262 + ... + 204034.

Almost surely, 2157419904 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 157419904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165001320).

157419904 is an abundant number, since it is smaller than the sum of its proper divisors (172582736).

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

157419904 is an equidigital number, since it uses as much as digits as its factorization.

157419904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 157419904 is about 12546.7088911794. The cubic root of 157419904 is about 539.9495883438.

The spelling of 157419904 in words is "one hundred fifty-seven million, four hundred nineteen thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 37 43 64 74 86 128 148 172 296 344 592 688 773 1184 1376 1546 1591 2368 2752 3092 3182 4736 5504 6184 6364 12368 12728 24736 25456 28601 33239 49472 50912 57202 66478 98944 101824 114404 132956 203648 228808 265912 457616 531824 915232 1063648 1229843 1830464 2127296 2459686 3660928 4254592 4919372 9838744 19677488 39354976 78709952 157419904