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78263904 = 2531515399
BaseRepresentation
bin1001010101000…
…11011001100000
312110021012220010
410222203121200
5130013421104
611433244520
71640142435
oct452433140
9173235803
1078263904
11401a5914
1222263740
13132a3104
14a573b8c
156d0e489
hex4aa3660

78263904 has 48 divisors (see below), whose sum is σ = 206841600. Its totient is φ = 25910400.

The previous prime is 78263893. The next prime is 78263921. The reversal of 78263904 is 40936287.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×782639042 = 12250477338642432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11797 + ... + 17195.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 278263904 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 78263904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103420800).

78263904 is an abundant number, since it is smaller than the sum of its proper divisors (128577696).

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

78263904 is a wasteful number, since it uses less digits than its factorization.

78263904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 78263904 is about 8846.6888721148. The cubic root of 78263904 is about 427.7471939955.

The spelling of 78263904 in words is "seventy-eight million, two hundred sixty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 906 1208 1812 2416 3624 4832 5399 7248 10798 14496 16197 21596 32394 43192 64788 86384 129576 172768 259152 518304 815249 1630498 2445747 3260996 4891494 6521992 9782988 13043984 19565976 26087968 39131952 78263904