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157451364 = 2235773317
BaseRepresentation
bin10010110001010…
…00010001100100
3101222021100200000
421120220101210
5310301420424
623342421300
73621212610
oct1130502144
9358240600
10157451364
11809715a4
1244891830
132680a6b5
1416ca8340
15dc523c9
hex9628464

157451364 has 144 divisors (see below), whose sum is σ = 479676288. Its totient is φ = 44229888.

The previous prime is 157451293. The next prime is 157451369. The reversal of 157451364 is 463154751.

157451364 is a `hidden beast` number, since 1 + 574 + 51 + 36 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157451369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496534 + ... + 496850.

Almost surely, 2157451364 is an apocalyptic number.

157451364 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 157451364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239838144).

157451364 is an abundant number, since it is smaller than the sum of its proper divisors (322224924).

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

157451364 is a wasteful number, since it uses less digits than its factorization.

157451364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 157451364 is about 12547.9625437758. The cubic root of 157451364 is about 539.9855551692.

The spelling of 157451364 in words is "one hundred fifty-seven million, four hundred fifty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 81 84 108 126 146 162 189 219 243 252 292 317 324 378 438 486 511 567 634 657 756 876 951 972 1022 1134 1268 1314 1533 1701 1902 1971 2044 2219 2268 2628 2853 3066 3402 3804 3942 4438 4599 5706 5913 6132 6657 6804 7884 8559 8876 9198 11412 11826 13314 13797 17118 17739 18396 19971 23141 23652 25677 26628 27594 34236 35478 39942 41391 46282 51354 55188 59913 69423 70956 77031 79884 82782 92564 102708 119826 124173 138846 154062 161987 165564 179739 208269 239652 248346 277692 308124 323974 359478 416538 485961 496692 539217 624807 647948 718956 833076 971922 1078434 1249614 1457883 1874421 1943844 2156868 2499228 2915766 3748842 4373649 5623263 5831532 7497684 8747298 11246526 13120947 17494596 22493052 26241894 39362841 52483788 78725682 157451364