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157883152 = 2474789337
BaseRepresentation
bin10010110100100…
…01101100010000
3102000002021222011
421122101230100
5310404230102
623355552304
73624661510
oct1132215420
9360067864
10157883152
1181136a49
1244a5b694
132692c0ab
1416d7b840
15dcda2d7
hex9691b10

157883152 has 80 divisors (see below), whose sum is σ = 362119680. Its totient is φ = 65286144.

The previous prime is 157883123. The next prime is 157883171. The reversal of 157883152 is 251388751.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468328 + ... + 468664.

It is an arithmetic number, because the mean of its divisors is an integer number (4526496).

Almost surely, 2157883152 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 157883152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181059840).

157883152 is an abundant number, since it is smaller than the sum of its proper divisors (204236528).

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

157883152 is a wasteful number, since it uses less digits than its factorization.

157883152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its digits is 67200, while the sum is 40.

The square root of 157883152 is about 12565.1562664378. The cubic root of 157883152 is about 540.4787158627.

The spelling of 157883152 in words is "one hundred fifty-seven million, eight hundred eighty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 47 56 89 94 112 178 188 329 337 356 376 623 658 674 712 752 1246 1316 1348 1424 2359 2492 2632 2696 4183 4718 4984 5264 5392 8366 9436 9968 15839 16732 18872 29281 29993 31678 33464 37744 58562 59986 63356 66928 110873 117124 119972 126712 209951 221746 234248 239944 253424 419902 443492 468496 479888 839804 886984 1409671 1679608 1773968 2819342 3359216 5638684 9867697 11277368 19735394 22554736 39470788 78941576 157883152