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78383264 = 2523281379
BaseRepresentation
bin1001010110000…
…00100010100000
312110111021121212
410223000202200
5130031231024
611440005252
71641150431
oct453004240
9173437555
1078383264
1140277563
1222300828
131331553b
14a5a5488
156d34a0e
hex4ac08a0

78383264 has 48 divisors (see below), whose sum is σ = 162025920. Its totient is φ = 37255680.

The previous prime is 78383251. The next prime is 78383273. The reversal of 78383264 is 46238387.

It is a super-2 number, since 2×783832642 = 12287872150587392, which contains 22 as substring.

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, 206627 + ... + 207005.

It is an arithmetic number, because the mean of its divisors is an integer number (3375540).

Almost surely, 278383264 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 78383264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81012960).

78383264 is an abundant number, since it is smaller than the sum of its proper divisors (83642656).

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

78383264 is a wasteful number, since it uses less digits than its factorization.

78383264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 78383264 is about 8853.4323287638. The cubic root of 78383264 is about 427.9645354491.

The spelling of 78383264 in words is "seventy-eight million, three hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 281 368 379 562 736 758 1124 1516 2248 3032 4496 6064 6463 8717 8992 12128 12926 17434 25852 34868 51704 69736 103408 106499 139472 206816 212998 278944 425996 851992 1703984 2449477 3407968 4898954 9797908 19595816 39191632 78383264