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74681464 = 23111397673
BaseRepresentation
bin1000111001110…
…00110001111000
312012112012201011
410130320301320
5123104301324
611224403304
71564532134
oct434706170
9165465634
1074681464
1139179320
1221016534
131261a620
149cc03c4
156852c94
hex4738c78

74681464 has 64 divisors (see below), whose sum is σ = 166451040. Its totient is φ = 30965760.

The previous prime is 74681447. The next prime is 74681479. The reversal of 74681464 is 46418647.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110632 + ... + 111304.

Almost surely, 274681464 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 74681464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83225520).

74681464 is an abundant number, since it is smaller than the sum of its proper divisors (91769576).

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

74681464 is a wasteful number, since it uses less digits than its factorization.

74681464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 796 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 74681464 is about 8641.8437847487. The cubic root of 74681464 is about 421.1184550535.

The spelling of 74681464 in words is "seventy-four million, six hundred eighty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 97 104 143 194 286 388 572 673 776 1067 1144 1261 1346 2134 2522 2692 4268 5044 5384 7403 8536 8749 10088 13871 14806 17498 27742 29612 34996 55484 59224 65281 69992 96239 110968 130562 192478 261124 384956 522248 718091 769912 848653 1436182 1697306 2872364 3394612 5744728 6789224 9335183 18670366 37340732 74681464