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157052844 = 2237131381
BaseRepresentation
bin10010101110001…
…10111110101100
3101221112010000000
421113012332230
5310201142334
623330104300
73614633004
oct1127067654
9357463000
10157052844
118071a143
124471b090
13266cb1a0
1416c03004
15dbc4299
hex95c6fac

157052844 has 96 divisors (see below), whose sum is σ = 444230080. Its totient is φ = 48288960.

The previous prime is 157052843. The next prime is 157052873. The reversal of 157052844 is 448250751.

157052844 is a `hidden beast` number, since 1 + 570 + 5 + 2 + 84 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 157052799 and 157052808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157052843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113034 + ... + 114414.

Almost surely, 2157052844 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 157052844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222115040).

157052844 is an abundant number, since it is smaller than the sum of its proper divisors (287177236).

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

157052844 is a wasteful number, since it uses less digits than its factorization.

157052844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 157052844 is about 12532.0726138975. The cubic root of 157052844 is about 539.5295903315.

The spelling of 157052844 in words is "one hundred fifty-seven million, fifty-two thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1381 1404 1458 2106 2187 2762 2916 3159 4143 4212 4374 5524 6318 8286 8748 9477 12429 12636 16572 17953 18954 24858 28431 35906 37287 37908 49716 53859 56862 71812 74574 107718 111861 113724 149148 161577 215436 223722 323154 335583 447444 484731 646308 671166 969462 1006749 1342332 1454193 1938924 2013498 2908386 3020247 4026996 4362579 5816772 6040494 8725158 12080988 13087737 17450316 26175474 39263211 52350948 78526422 157052844