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78675968 = 21574
BaseRepresentation
bin1001011000010…
…00000000000000
312111001011010202
410230020000000
5130120112333
611450144332
71643510000
oct454100000
9174034122
1078675968
1140457468
12224220a8
13133b8837
14a640000
156d915e8
hex4b08000

78675968 has 80 divisors (see below), whose sum is σ = 183563535. Its totient is φ = 33718272.

The previous prime is 78675953. The next prime is 78675991. The reversal of 78675968 is 86957687.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 39337984 + 39337984 = 6272^2 + 6272^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6272.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a Duffinian number.

Its product of digits (5080320) is a multiple of the sum of its prime divisors (9).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 11239421 + ... + 11239427.

Almost surely, 278675968 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 78675968

78675968 is an abundant number, since it is smaller than the sum of its proper divisors (104887567).

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

78675968 is an frugal number, since it uses more digits than its factorization.

78675968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 9 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 56.

The square root of 78675968 is about 8869.9474632041. The cubic root of 78675968 is about 428.4965849410.

78675968 divided by its sum of digits (56) gives a cube (1404928 = 1123).

The spelling of 78675968 in words is "seventy-eight million, six hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1372 1568 1792 2048 2401 2744 3136 3584 4096 4802 5488 6272 7168 8192 9604 10976 12544 14336 16384 19208 21952 25088 28672 32768 38416 43904 50176 57344 76832 87808 100352 114688 153664 175616 200704 229376 307328 351232 401408 614656 702464 802816 1229312 1404928 1605632 2458624 2809856 4917248 5619712 9834496 11239424 19668992 39337984 78675968