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78331136 = 281323537
BaseRepresentation
bin1001010101100…
…11110100000000
312110101122010012
410222303310000
5130023044021
611434524052
71640542442
oct452636400
9173348105
1078331136
1140241384
1222296628
13132c78b0
14a590492
156d2435b
hex4ab3d00

78331136 has 36 divisors (see below), whose sum is σ = 168390852. Its totient is φ = 36151296.

The previous prime is 78331111. The next prime is 78331147. The reversal of 78331136 is 63113387.

It can be written as a sum of positive squares in 2 ways, for example, as 18113536 + 60217600 = 4256^2 + 7760^2 .

It is a super-2 number, since 2×783311362 = 12271533734100992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 3 ways as a sum of consecutive naturals, for example, 8441 + ... + 15096.

Almost surely, 278331136 is an apocalyptic number.

It is an amenable number.

78331136 is an abundant number, since it is smaller than the sum of its proper divisors (90059716).

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

78331136 is a wasteful number, since it uses less digits than its factorization.

78331136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23566 (or 23552 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 78331136 is about 8850.4878961558. The cubic root of 78331136 is about 427.8696432428.

The spelling of 78331136 in words is "seventy-eight million, three hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 23537 47074 94148 188296 305981 376592 611962 753184 1223924 1506368 2447848 3012736 4895696 6025472 9791392 19582784 39165568 78331136