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78868000 = 255319717
BaseRepresentation
bin1001011001101…
…10111000100000
312111101220120001
410230312320200
5130142234000
611454225344
71645236601
oct454667040
9174356501
1078868000
1140578772
12224b5254
1313455073
14a68dda8
156dcd46a
hex4b36e20

78868000 has 48 divisors (see below), whose sum is σ = 193788504. Its totient is φ = 31545600.

The previous prime is 78867983. The next prime is 78868043. The reversal of 78868000 is 86887.

It can be written as a sum of positive squares in 4 ways, for example, as 7160976 + 71707024 = 2676^2 + 8468^2 .

It is a super-2 number, since 2×788680002 = 12440322848000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5859 + ... + 13858.

Almost surely, 278868000 is an apocalyptic number.

It is an amenable number.

78868000 is an abundant number, since it is smaller than the sum of its proper divisors (114920504).

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

78868000 is a wasteful number, since it uses less digits than its factorization.

78868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19742 (or 19724 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 78868000 is about 8880.7657327508. The cubic root of 78868000 is about 428.8449259567.

The spelling of 78868000 in words is "seventy-eight million, eight hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 19717 39434 78868 98585 157736 197170 315472 394340 492925 630944 788680 985850 1577360 1971700 2464625 3154720 3943400 4929250 7886800 9858500 15773600 19717000 39434000 78868000