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156450064 = 24532592
BaseRepresentation
bin10010101001100…
…11110100010000
3101220101111010211
421110303310100
5310022400224
623305133504
73606542431
oct1124636420
9356344124
10156450064
1180348281
124448a294
1326549a04
1416ac7488
15db05894
hex9533d10

156450064 has 45 divisors (see below), whose sum is σ = 314274373. Its totient is φ = 75448256.

The previous prime is 156450059. The next prime is 156450079. The reversal of 156450064 is 460054651.

The square root of 156450064 is 12508.

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

It can be written as a sum of positive squares in only one way, i.e., 112784400 + 43665664 = 10620^2 + 6608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2651667 + ... + 2651725.

Almost surely, 2156450064 is an apocalyptic number.

156450064 is the 12508-th square number.

It is an amenable number.

156450064 is an abundant number, since it is smaller than the sum of its proper divisors (157824309).

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

156450064 is an frugal number, since it uses more digits than its factorization.

156450064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The cubic root of 156450064 is about 538.8384543692.

Multiplying 156450064 by its product of nonzero digits (14400), we get a square (2252880921600 = 15009602).

The spelling of 156450064 in words is "one hundred fifty-six million, four hundred fifty thousand, sixty-four".

Divisors: 1 2 4 8 16 53 59 106 118 212 236 424 472 848 944 2809 3127 3481 5618 6254 6962 11236 12508 13924 22472 25016 27848 44944 50032 55696 165731 184493 331462 368986 662924 737972 1325848 1475944 2651696 2951888 9778129 19556258 39112516 78225032 156450064