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78346656 = 253390679
BaseRepresentation
bin1001010101101…
…11100110100000
312110102102102000
410222313212200
5130024043111
611435124000
71640635623
oct452674640
9173372360
1078346656
1140252003
12222a3600
131330198b
14a595dba
156d28c56
hex4ab79a0

78346656 has 48 divisors (see below), whose sum is σ = 228513600. Its totient is φ = 26115264.

The previous prime is 78346589. The next prime is 78346669. The reversal of 78346656 is 65664387.

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

It is a super-2 number, since 2×783466562 = 12276397012764672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44476 + ... + 46203.

It is an arithmetic number, because the mean of its divisors is an integer number (4760700).

Almost surely, 278346656 is an apocalyptic number.

It is an amenable number.

78346656 is an abundant number, since it is smaller than the sum of its proper divisors (150166944).

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

78346656 is a wasteful number, since it uses less digits than its factorization.

78346656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90698 (or 90684 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 78346656 is about 8851.3646405512. The cubic root of 78346656 is about 427.8978997730.

The spelling of 78346656 in words is "seventy-eight million, three hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 90679 181358 272037 362716 544074 725432 816111 1088148 1450864 1632222 2176296 2448333 2901728 3264444 4352592 4896666 6528888 8705184 9793332 13057776 19586664 26115552 39173328 78346656