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78422688 = 2533139653
BaseRepresentation
bin1001010110010…
…10001010100000
312110120021201000
410223022022200
5130034011223
611440512000
71641403401
oct453121240
9173507630
1078422688
11402a4143
122231b600
131332a476
14a5b59a8
156d41543
hex4aca2a0

78422688 has 96 divisors (see below), whose sum is σ = 230731200. Its totient is φ = 25913088.

The previous prime is 78422651. The next prime is 78422711. The reversal of 78422688 is 88622487.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119770 + ... + 120422.

It is an arithmetic number, because the mean of its divisors is an integer number (2403450).

Almost surely, 278422688 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 78422688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115365600).

78422688 is an abundant number, since it is smaller than the sum of its proper divisors (152308512).

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

78422688 is a wasteful number, since it uses less digits than its factorization.

78422688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 797 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 78422688 is about 8855.6585300022. The cubic root of 78422688 is about 428.0362737475.

The spelling of 78422688 in words is "seventy-eight million, four hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 139 144 216 278 288 417 432 556 653 834 864 1112 1251 1306 1668 1959 2224 2502 2612 3336 3753 3918 4448 5004 5224 5877 6672 7506 7836 10008 10448 11754 13344 15012 15672 17631 20016 20896 23508 30024 31344 35262 40032 47016 60048 62688 70524 90767 94032 120096 141048 181534 188064 272301 282096 363068 544602 564192 726136 816903 1089204 1452272 1633806 2178408 2450709 2904544 3267612 4356816 4901418 6535224 8713632 9802836 13070448 19605672 26140896 39211344 78422688