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78945264 = 24322811951
BaseRepresentation
bin1001011010010…
…01101111110000
312111112211112200
410231021233300
5130202222024
611500023200
71646011056
oct455115760
9174484480
1078945264
1140620822
1222531b00
1313481298
14a6b01d6
156de62c9
hex4b49bf0

78945264 has 60 divisors (see below), whose sum is σ = 221836992. Its totient is φ = 26208000.

The previous prime is 78945233. The next prime is 78945287. The reversal of 78945264 is 46254987.

It is a happy number.

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, 39489 + ... + 41439.

Almost surely, 278945264 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 78945264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110918496).

78945264 is an abundant number, since it is smaller than the sum of its proper divisors (142891728).

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

78945264 is a wasteful number, since it uses less digits than its factorization.

78945264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2237 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 78945264 is about 8885.1147432096. The cubic root of 78945264 is about 428.9849213081.

The spelling of 78945264 in words is "seventy-eight million, nine hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 281 562 843 1124 1686 1951 2248 2529 3372 3902 4496 5058 5853 6744 7804 10116 11706 13488 15608 17559 20232 23412 31216 35118 40464 46824 70236 93648 140472 280944 548231 1096462 1644693 2192924 3289386 4385848 4934079 6578772 8771696 9868158 13157544 19736316 26315088 39472632 78945264