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67925664 = 25322271039
BaseRepresentation
bin1000000110001…
…11011010100000
311201210222111100
410003013122200
5114342110124
610423514400
71453234002
oct403073240
9151728440
1067925664
1135384614
121a8b8a00
13110c3601
149042372
155e6b1c9
hex40c76a0

67925664 has 72 divisors (see below), whose sum is σ = 194201280. Its totient is φ = 22520448.

The previous prime is 67925653. The next prime is 67925677. The reversal of 67925664 is 46652976.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×679256642 = 9227791659681792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64857 + ... + 65895.

It is an arithmetic number, because the mean of its divisors is an integer number (2697240).

Almost surely, 267925664 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 67925664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97100640).

67925664 is an abundant number, since it is smaller than the sum of its proper divisors (126275616).

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

67925664 is a wasteful number, since it uses less digits than its factorization.

67925664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1271 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 67925664 is about 8241.7027366922. The cubic root of 67925664 is about 408.0167236513.

The spelling of 67925664 in words is "sixty-seven million, nine hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 227 288 454 681 908 1039 1362 1816 2043 2078 2724 3117 3632 4086 4156 5448 6234 7264 8172 8312 9351 10896 12468 16344 16624 18702 21792 24936 32688 33248 37404 49872 65376 74808 99744 149616 235853 299232 471706 707559 943412 1415118 1886824 2122677 2830236 3773648 4245354 5660472 7547296 8490708 11320944 16981416 22641888 33962832 67925664