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77073264 = 24323111721
BaseRepresentation
bin1001001100000…
…00101101110000
312101000201122100
410212000231300
5124212321024
611351540400
71624053252
oct446005560
9171021570
1077073264
113a562314
122198a700
1312c771a8
14a343cd2
156b767c9
hex4980b70

77073264 has 60 divisors (see below), whose sum is σ = 216517392. Its totient is φ = 25593600.

The previous prime is 77073259. The next prime is 77073281. The reversal of 77073264 is 46237077.

It is a super-2 number, since 2×770732642 = 11880576047227392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 43924 + ... + 45644.

Almost surely, 277073264 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 77073264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108258696).

77073264 is an abundant number, since it is smaller than the sum of its proper divisors (139444128).

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

77073264 is a wasteful number, since it uses less digits than its factorization.

77073264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 77073264 is about 8779.1379986876. The cubic root of 77073264 is about 425.5669738539.

The spelling of 77073264 in words is "seventy-seven million, seventy-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 311 622 933 1244 1721 1866 2488 2799 3442 3732 4976 5163 5598 6884 7464 10326 11196 13768 14928 15489 20652 22392 27536 30978 41304 44784 61956 82608 123912 247824 535231 1070462 1605693 2140924 3211386 4281848 4817079 6422772 8563696 9634158 12845544 19268316 25691088 38536632 77073264