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96067968 = 2731012477
BaseRepresentation
bin1011011100111…
…10000110000000
320200202202110220
411232132012000
5144043133333
613311023040
72244364353
oct556360600
9220682426
1096067968
114a256317
122820aa80
1316b97b69
14ca8a29a
1586798b3
hex5b9e180

96067968 has 64 divisors (see below), whose sum is σ = 257811120. Its totient is φ = 31692800.

The previous prime is 96067957. The next prime is 96068023. The reversal of 96067968 is 86976069.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 96067968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37546 + ... + 40022.

Almost surely, 296067968 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 96067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128905560).

96067968 is an abundant number, since it is smaller than the sum of its proper divisors (161743152).

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

96067968 is a wasteful number, since it uses less digits than its factorization.

96067968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 96067968 is about 9801.4268349052. The cubic root of 96067968 is about 457.9937325535.

The spelling of 96067968 in words is "ninety-six million, sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 303 384 404 606 808 1212 1616 2424 2477 3232 4848 4954 6464 7431 9696 9908 12928 14862 19392 19816 29724 38784 39632 59448 79264 118896 158528 237792 250177 317056 475584 500354 750531 951168 1000708 1501062 2001416 3002124 4002832 6004248 8005664 12008496 16011328 24016992 32022656 48033984 96067968