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76474680 = 23352512539
BaseRepresentation
bin1001000111011…
…10100100111000
312022220022112120
410203232210320
5124034142210
611331041240
71616011152
oct443564470
9168808476
1076474680
113a193617
1221740220
1312ac78b9
14a229ad2
156aa9270
hex48ee938

76474680 has 64 divisors (see below), whose sum is σ = 230428800. Its totient is φ = 20304000.

The previous prime is 76474667. The next prime is 76474691. The reversal of 76474680 is 8647467.

It is a super-2 number, since 2×764746802 = 11696753362204800, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 28851 + ... + 31389.

It is an arithmetic number, because the mean of its divisors is an integer number (3600450).

Almost surely, 276474680 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 76474680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115214400).

76474680 is an abundant number, since it is smaller than the sum of its proper divisors (153954120).

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

76474680 is a wasteful number, since it uses less digits than its factorization.

76474680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 76474680 is about 8744.9802744203. The cubic root of 76474680 is about 424.4623975261.

The spelling of 76474680 in words is "seventy-six million, four hundred seventy-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 251 502 753 1004 1255 1506 2008 2510 2539 3012 3765 5020 5078 6024 7530 7617 10040 10156 12695 15060 15234 20312 25390 30120 30468 38085 50780 60936 76170 101560 152340 304680 637289 1274578 1911867 2549156 3186445 3823734 5098312 6372890 7647468 9559335 12745780 15294936 19118670 25491560 38237340 76474680