Search a number
-
+
156050064 = 24343472
BaseRepresentation
bin10010100110100…
…10001010010000
3101212122011110000
421103102022100
5304422100224
623252410000
73603255312
oct1123221220
9355564400
10156050064
11800a47a5
1244316900
1326439921
1416a217b2
15da770c9
hex94d2290

156050064 has 75 divisors (see below), whose sum is σ = 452959507. Its totient is φ = 51866784.

The previous prime is 156050033. The next prime is 156050071. The reversal of 156050064 is 460050651.

It is a happy number.

The square root of 156050064 is 12492.

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

156050064 is a `hidden beast` number, since 156 + 0 + 500 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 449539 + ... + 449885.

Almost surely, 2156050064 is an apocalyptic number.

156050064 is the 12492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156050064

156050064 is an abundant number, since it is smaller than the sum of its proper divisors (296909443).

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

156050064 is an frugal number, since it uses more digits than its factorization.

156050064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The cubic root of 156050064 is about 538.3788416214.

Multiplying 156050064 by its product of nonzero digits (3600), we get a square (561780230400 = 7495202).

The spelling of 156050064 in words is "one hundred fifty-six million, fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 347 432 648 694 1041 1296 1388 2082 2776 3123 4164 5552 6246 8328 9369 12492 16656 18738 24984 28107 37476 49968 56214 74952 112428 120409 149904 224856 240818 361227 449712 481636 722454 963272 1083681 1444908 1926544 2167362 2889816 3251043 4334724 5779632 6502086 8669448 9753129 13004172 17338896 19506258 26008344 39012516 52016688 78025032 156050064