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76608672 = 2537114001
BaseRepresentation
bin1001001000011…
…11010010100000
312100011010100020
410210033102200
5124102434142
611333553440
71620106620
oct444172240
9170133306
1076608672
113a275258
12217a5880
1312b4389a
14a262880
156ad3cec
hex490f4a0

76608672 has 48 divisors (see below), whose sum is σ = 229828032. Its totient is φ = 21888000.

The previous prime is 76608667. The next prime is 76608673. The reversal of 76608672 is 27680667.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (76608673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56329 + ... + 57672.

It is an arithmetic number, because the mean of its divisors is an integer number (4788084).

Almost surely, 276608672 is an apocalyptic number.

It is an amenable number.

76608672 is an abundant number, since it is smaller than the sum of its proper divisors (153219360).

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

76608672 is a wasteful number, since it uses less digits than its factorization.

76608672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114021 (or 114013 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 76608672 is about 8752.6380023396. The cubic root of 76608672 is about 424.7101543917.

The spelling of 76608672 in words is "seventy-six million, six hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 114001 228002 342003 456004 684006 798007 912008 1368012 1596014 1824016 2394021 2736024 3192028 3648032 4788042 5472048 6384056 9576084 10944096 12768112 19152168 25536224 38304336 76608672