Search a number
-
+
157533312 = 273410243
BaseRepresentation
bin10010110001111…
…00010010000000
3101222102112002010
421120330102000
5310312031222
623344252520
73622003536
oct1130742200
9358375063
10157533312
1180a18122
1244911140
1326838aa1
1416cca156
15dc6b80c
hex963c480

157533312 has 32 divisors (see below), whose sum is σ = 418448880. Its totient is φ = 52510976.

The previous prime is 157533301. The next prime is 157533319. The reversal of 157533312 is 213335751.

157533312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 157533312.

It is not an unprimeable number, because it can be changed into a prime (157533319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 204738 + ... + 205505.

Almost surely, 2157533312 is an apocalyptic number.

157533312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157533312 is an abundant number, since it is smaller than the sum of its proper divisors (260915568).

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

157533312 is an equidigital number, since it uses as much as digits as its factorization.

157533312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410260 (or 410248 counting only the distinct ones).

The product of its digits is 9450, while the sum is 30.

The square root of 157533312 is about 12551.2275096900. The cubic root of 157533312 is about 540.0792202019.

The spelling of 157533312 in words is "one hundred fifty-seven million, five hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 410243 820486 1230729 1640972 2461458 3281944 4922916 6563888 9845832 13127776 19691664 26255552 39383328 52511104 78766656 157533312