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157484404 = 227112234347
BaseRepresentation
bin10010110001100…
…00010101110100
3101222100000222201
421120300111310
5310304000104
623343234244
73621411130
oct1130602564
9358300881
10157484404
1180994400
12448a8984
132681c74c
1416cb63c0
15dc5c0a4
hex9630574

157484404 has 144 divisors (see below), whose sum is σ = 377524224. Its totient is φ = 56105280.

The previous prime is 157484387. The next prime is 157484441. The reversal of 157484404 is 404484751.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3350709 + ... + 3350755.

It is an arithmetic number, because the mean of its divisors is an integer number (2621696).

Almost surely, 2157484404 is an apocalyptic number.

157484404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157484404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188762112).

157484404 is an abundant number, since it is smaller than the sum of its proper divisors (220039820).

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

157484404 is a wasteful number, since it uses less digits than its factorization.

157484404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 37.

The square root of 157484404 is about 12549.2790231152. The cubic root of 157484404 is about 540.0233231810.

The spelling of 157484404 in words is "one hundred fifty-seven million, four hundred eighty-four thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 23 28 43 44 46 47 77 86 92 94 121 154 161 172 188 242 253 301 308 322 329 473 484 506 517 602 644 658 847 946 989 1012 1034 1081 1204 1316 1694 1771 1892 1978 2021 2068 2162 2783 3311 3388 3542 3619 3956 4042 4324 5203 5566 5687 6622 6923 7084 7238 7567 8084 10406 10879 11132 11374 11891 13244 13846 14147 14476 15134 19481 20812 21758 22231 22748 23782 27692 28294 30268 36421 38962 39809 43516 44462 46483 47564 56588 72842 76153 77924 79618 83237 88924 92966 119669 130801 145684 152306 155617 159236 166474 185932 239338 244541 261602 304612 311234 325381 332948 478676 489082 511313 523204 622468 650762 837683 915607 978164 1022626 1301524 1675366 1711787 1831214 2045252 3350732 3423574 3579191 3662428 5624443 6847148 7158382 11248886 14316764 22497772 39371101 78742202 157484404