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76014144 = 2632131969
BaseRepresentation
bin1001000011111…
…10001001000000
312022000220210200
410201332021000
5123424423034
611313125200
71612052403
oct441761100
9168026720
1076014144
11399a9608
1221559800
13129960ab
14a149d3a
156a17a99
hex487e240

76014144 has 42 divisors (see below), whose sum is σ = 217882470. Its totient is φ = 25337856.

The previous prime is 76014143. The next prime is 76014151. The reversal of 76014144 is 44141067.

It can be written as a sum of positive squares in only one way, i.e., 50126400 + 25887744 = 7080^2 + 5088^2 .

It is not an unprimeable number, because it can be changed into a prime (76014143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65409 + ... + 66560.

Almost surely, 276014144 is an apocalyptic number.

It is an amenable number.

76014144 is an abundant number, since it is smaller than the sum of its proper divisors (141868326).

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

76014144 is a wasteful number, since it uses less digits than its factorization.

76014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131987 (or 131974 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 76014144 is about 8718.6090633770. The cubic root of 76014144 is about 423.6086337643.

The spelling of 76014144 in words is "seventy-six million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 131969 263938 395907 527876 791814 1055752 1187721 1583628 2111504 2375442 3167256 4223008 4750884 6334512 8446016 9501768 12669024 19003536 25338048 38007072 76014144