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78623964 = 22323767881
BaseRepresentation
bin1001010111110…
…11010011011100
312110221111210200
410223323103130
5130111431324
611445103500
71643202246
oct453732334
9173844720
1078623964
1140421391
12223b7b90
131339ac73
14a629096
156d80ec9
hex4afb4dc

78623964 has 72 divisors (see below), whose sum is σ = 207397008. Its totient is φ = 25090560.

The previous prime is 78623953. The next prime is 78623969. The reversal of 78623964 is 46932687.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78623969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88804 + ... + 89684.

It is an arithmetic number, because the mean of its divisors is an integer number (2880514).

Almost surely, 278623964 is an apocalyptic number.

78623964 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78623964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103698504).

78623964 is an abundant number, since it is smaller than the sum of its proper divisors (128773044).

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

78623964 is a wasteful number, since it uses less digits than its factorization.

78623964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 990 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 78623964 is about 8867.0155069223. The cubic root of 78623964 is about 428.4021535303.

The spelling of 78623964 in words is "seventy-eight million, six hundred twenty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 67 74 111 134 148 201 222 268 333 402 444 603 666 804 881 1206 1332 1762 2412 2479 2643 3524 4958 5286 7437 7929 9916 10572 14874 15858 22311 29748 31716 32597 44622 59027 65194 89244 97791 118054 130388 177081 195582 236108 293373 354162 391164 531243 586746 708324 1062486 1173492 2124972 2183999 4367998 6551997 8735996 13103994 19655991 26207988 39311982 78623964