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157245312 = 2737261137
BaseRepresentation
bin10010101111101…
…01111110000000
3101221212220000110
421113311332000
5310223322222
623334151320
73616364100
oct1127657600
9357786013
10157245312
1180840804
12447b2540
1326767983
1416c53200
15dc1130c
hex95f5f80

157245312 has 192 divisors, whose sum is σ = 497445840. Its totient is φ = 43868160.

The previous prime is 157245293. The next prime is 157245331. The reversal of 157245312 is 213542751.

157245312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157245293) and next prime (157245331).

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (8400) is a multiple of the sum of its prime divisors (210).

It is a self number, because there is not a number n which added to its sum of digits gives 157245312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1147708 + ... + 1147844.

Almost surely, 2157245312 is an apocalyptic number.

157245312 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 157245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248722920).

157245312 is an abundant number, since it is smaller than the sum of its proper divisors (340200528).

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

157245312 is a wasteful number, since it uses less digits than its factorization.

157245312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 157245312 is about 12539.7492797902. The cubic root of 157245312 is about 539.7498979000.

The spelling of 157245312 in words is "one hundred fifty-seven million, two hundred forty-five thousand, three hundred twelve".