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78552064 = 210411871
BaseRepresentation
bin1001010111010…
…01110000000000
312110210212011201
410223221300000
5130102131224
611443350544
71642452523
oct453516000
9173725151
1078552064
1140382368
1222382454
1313374316
14a60abba
156d69a44
hex4ae9c00

78552064 has 44 divisors (see below), whose sum is σ = 160943328. Its totient is φ = 38297600.

The previous prime is 78552059. The next prime is 78552083. The reversal of 78552064 is 46025587.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41049 + ... + 42919.

Almost surely, 278552064 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 78552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80471664).

78552064 is an abundant number, since it is smaller than the sum of its proper divisors (82391264).

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

78552064 is a wasteful number, since it uses less digits than its factorization.

78552064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 78552064 is about 8862.9602278246. The cubic root of 78552064 is about 428.2715253802.

The spelling of 78552064 in words is "seventy-eight million, five hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 1871 2624 3742 5248 7484 10496 14968 20992 29936 41984 59872 76711 119744 153422 239488 306844 478976 613688 957952 1227376 1915904 2454752 4909504 9819008 19638016 39276032 78552064