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157542912 = 2932179191
BaseRepresentation
bin10010110001111…
…10101000000000
3101222110000020200
421120332220000
5310312333122
623344405200
73622043532
oct1130765000
9358400220
10157542912
1180a2435a
1244916800
1326840277
1416ccd852
15dc6e5ac
hex963ea00

157542912 has 120 divisors (see below), whose sum is σ = 459613440. Its totient is φ = 51947520.

The previous prime is 157542863. The next prime is 157542941. The reversal of 157542912 is 219245751.

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

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 11 ways as a sum of consecutive naturals, for example, 824737 + ... + 824927.

It is an arithmetic number, because the mean of its divisors is an integer number (3830112).

Almost surely, 2157542912 is an apocalyptic number.

157542912 is a gapful number since it is divisible by the number (12) 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 157542912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229806720).

157542912 is an abundant number, since it is smaller than the sum of its proper divisors (302070528).

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

157542912 is a wasteful number, since it uses less digits than its factorization.

157542912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 375 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 157542912 is about 12551.6099365779. The cubic root of 157542912 is about 540.0901906968.

The spelling of 157542912 in words is "one hundred fifty-seven million, five hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 179 191 192 256 288 358 382 384 512 537 573 576 716 764 768 1074 1146 1152 1432 1528 1536 1611 1719 2148 2292 2304 2864 3056 3222 3438 4296 4584 4608 5728 6112 6444 6876 8592 9168 11456 12224 12888 13752 17184 18336 22912 24448 25776 27504 34189 34368 36672 45824 48896 51552 55008 68378 68736 73344 91648 97792 102567 103104 110016 136756 137472 146688 205134 206208 220032 273512 274944 293376 307701 410268 412416 440064 547024 615402 820536 824832 880128 1094048 1230804 1641072 2188096 2461608 3282144 4376192 4923216 6564288 8752384 9846432 13128576 17504768 19692864 26257152 39385728 52514304 78771456 157542912