Search a number
-
+
157207376 = 2429379157
BaseRepresentation
bin10010101111011…
…00101101010000
3101221210221222102
421113230231100
5310221114001
623333255532
73616145354
oct1127545520
9357727872
10157207376
1180815257
12447945a8
1326753621
1416c43464
15dc04e6b
hex95ecb50

157207376 has 40 divisors (see below), whose sum is σ = 323643720. Its totient is φ = 73833984.

The previous prime is 157207361. The next prime is 157207411. The reversal of 157207376 is 673702751.

157207376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26790976 + 130416400 = 5176^2 + 11420^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12590 + ... + 21746.

It is an arithmetic number, because the mean of its divisors is an integer number (8091093).

Almost surely, 2157207376 is an apocalyptic number.

157207376 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 157207376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161821860).

157207376 is an abundant number, since it is smaller than the sum of its proper divisors (166436344).

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

157207376 is a wasteful number, since it uses less digits than its factorization.

157207376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9231 (or 9225 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 38.

The square root of 157207376 is about 12538.2365586234. The cubic root of 157207376 is about 539.7064888709.

The spelling of 157207376 in words is "one hundred fifty-seven million, two hundred seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 296 464 592 1073 2146 4292 8584 9157 17168 18314 36628 73256 146512 265553 338809 531106 677618 1062212 1355236 2124424 2710472 4248848 5420944 9825461 19650922 39301844 78603688 157207376