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157051024 = 241322412
BaseRepresentation
bin10010101110001…
…10100010010000
3101221112000111121
421113012202100
5310201113044
623330052024
73614624464
oct1127064220
9357460447
10157051024
1180718839
124471a014
13266ca400
1416c024a4
15dbc3984
hex95c6890

157051024 has 45 divisors (see below), whose sum is σ = 330866379. Its totient is φ = 72184320.

The previous prime is 157051019. The next prime is 157051039. The reversal of 157051024 is 420150751.

Multipling 157051024 by its sum of digits (25), we get a square (3926275600 = 626602).

The square root of 157051024 is 12532.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2496400 + 154554624 = 1580^2 + 12432^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 157051024.

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 8 ways as a sum of consecutive naturals, for example, 651544 + ... + 651784.

Almost surely, 2157051024 is an apocalyptic number.

157051024 is the 12532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157051024

157051024 is an abundant number, since it is smaller than the sum of its proper divisors (173815355).

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

157051024 is an equidigital number, since it uses as much as digits as its factorization.

157051024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The cubic root of 157051024 is about 539.5275062184.

The spelling of 157051024 in words is "one hundred fifty-seven million, fifty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 241 338 482 676 964 1352 1928 2704 3133 3856 6266 12532 25064 40729 50128 58081 81458 116162 162916 232324 325832 464648 651664 755053 929296 1510106 3020212 6040424 9815689 12080848 19631378 39262756 78525512 157051024