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157033936 = 24194143293
BaseRepresentation
bin10010101110000…
…10010111010000
3101221111011001201
421113002113100
5310200041221
623325440544
73614523613
oct1127022720
9357434051
10157033936
1180706a14
1244710154
13266c26b7
1416bda17a
15dbbd891
hex95c25d0

157033936 has 80 divisors (see below), whose sum is σ = 336853440. Its totient is φ = 70640640.

The previous prime is 157033907. The next prime is 157033937. The reversal of 157033936 is 639330751.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 157033895 and 157033904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157033937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535806 + ... + 536098.

It is an arithmetic number, because the mean of its divisors is an integer number (4210668).

Almost surely, 2157033936 is an apocalyptic number.

157033936 is a gapful number since it is divisible by the number (16) 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 157033936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168426720).

157033936 is an abundant number, since it is smaller than the sum of its proper divisors (179819504).

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

157033936 is a wasteful number, since it uses less digits than its factorization.

157033936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 37.

The square root of 157033936 is about 12531.3182067969. The cubic root of 157033936 is about 539.5079376727.

The spelling of 157033936 in words is "one hundred fifty-seven million, thirty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 41 43 76 82 86 152 164 172 293 304 328 344 586 656 688 779 817 1172 1558 1634 1763 2344 3116 3268 3526 4688 5567 6232 6536 7052 11134 12013 12464 12599 13072 14104 22268 24026 25198 28208 33497 44536 48052 50396 66994 89072 96104 100792 133988 192208 201584 228247 239381 267976 456494 478762 516559 535952 912988 957524 1033118 1825976 1915048 2066236 3651952 3830096 4132472 8264944 9814621 19629242 39258484 78516968 157033936