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78675264 = 2632137997
BaseRepresentation
bin1001011000001…
…11110101000000
312111001010011200
410230013311000
5130120102024
611450141200
71643504643
oct454076500
9174033150
1078675264
1140456988
1222421800
13133b8415
14a63da5a
156d912c9
hex4b07d40

78675264 has 84 divisors (see below), whose sum is σ = 227382324. Its totient is φ = 26007552.

The previous prime is 78675229. The next prime is 78675277. The reversal of 78675264 is 46257687.

It can be written as a sum of positive squares in 2 ways, for example, as 57881664 + 20793600 = 7608^2 + 4560^2 .

Its product of digits (564480) is a multiple of the sum of its prime factors (1152).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 78414 + ... + 79410.

Almost surely, 278675264 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 78675264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113691162).

78675264 is an abundant number, since it is smaller than the sum of its proper divisors (148707060).

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

78675264 is a wasteful number, since it uses less digits than its factorization.

78675264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1139 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 78675264 is about 8869.9077785510. The cubic root of 78675264 is about 428.4953068612.

It can be divided in two parts, 7867 and 5264, that added together give a palindrome (13131).

The spelling of 78675264 in words is "seventy-eight million, six hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 137 144 192 274 288 411 548 576 822 997 1096 1233 1644 1994 2192 2466 2991 3288 3988 4384 4932 5982 6576 7976 8768 8973 9864 11964 13152 15952 17946 19728 23928 26304 31904 35892 39456 47856 63808 71784 78912 95712 136589 143568 191424 273178 287136 409767 546356 574272 819534 1092712 1229301 1639068 2185424 2458602 3278136 4370848 4917204 6556272 8741696 9834408 13112544 19668816 26225088 39337632 78675264