Search a number
-
+
157416256 = 269725357
BaseRepresentation
bin10010110000111…
…11101101000000
3101222012120111201
421120133231000
5310244310011
623341550544
73621005344
oct1130375500
9358176451
10157416256
1180948188
1244875454
13267c771a
1416c99624
15dc46cc1
hex961fb40

157416256 has 28 divisors (see below), whose sum is σ = 315605668. Its totient is φ = 77893632.

The previous prime is 157416253. The next prime is 157416293. The reversal of 157416256 is 652614751.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 60590656 + 96825600 = 7784^2 + 9840^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157416253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6471 + ... + 18886.

It is an arithmetic number, because the mean of its divisors is an integer number (11271631).

Almost surely, 2157416256 is an apocalyptic number.

157416256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

157416256 is an abundant number, since it is smaller than the sum of its proper divisors (158189412).

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

157416256 is an equidigital number, since it uses as much as digits as its factorization.

157416256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25466 (or 25456 counting only the distinct ones).

The product of its digits is 50400, while the sum is 37.

The square root of 157416256 is about 12546.5635135682. The cubic root of 157416256 is about 539.9454174369.

The spelling of 157416256 in words is "one hundred fifty-seven million, four hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 97 194 388 776 1552 3104 6208 25357 50714 101428 202856 405712 811424 1622848 2459629 4919258 9838516 19677032 39354064 78708128 157416256