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78126656 = 261220729
BaseRepresentation
bin1001010100000…
…01111001000000
312110000020121212
410222001321000
5130000023111
611430305252
71636031336
oct452017100
9173006555
1078126656
1140111793
12221b8228
13132557ba
14a539b56
156cd398b
hex4a81e40

78126656 has 14 divisors (see below), whose sum is σ = 155032710. Its totient is φ = 39063296.

The previous prime is 78126649. The next prime is 78126701. The reversal of 78126656 is 65662187.

It can be written as a sum of positive squares in only one way, i.e., 69222400 + 8904256 = 8320^2 + 2984^2 .

It is a super-3 number, since 3×781266563 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610301 + ... + 610428.

It is an arithmetic number, because the mean of its divisors is an integer number (11073765).

Almost surely, 278126656 is an apocalyptic number.

It is an amenable number.

78126656 is a deficient number, since it is larger than the sum of its proper divisors (76906054).

78126656 is a wasteful number, since it uses less digits than its factorization.

78126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220741 (or 1220731 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 78126656 is about 8838.9284418418. The cubic root of 78126656 is about 427.4970071493.

The spelling of 78126656 in words is "seventy-eight million, one hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 1220729 2441458 4882916 9765832 19531664 39063328 78126656