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74714976 = 2532737061
BaseRepresentation
bin1000111010000…
…00111101100000
312012120220200100
410131000331200
5123111334401
611225222400
71565031630
oct435007540
9165526610
1074714976
11391a1516
1221031a00
131262c95b
149ccc6c0
15685cb86
hex4740f60

74714976 has 72 divisors (see below), whose sum is σ = 242830224. Its totient is φ = 21346560.

The previous prime is 74714963. The next prime is 74714977. The reversal of 74714976 is 67941747.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74714977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16515 + ... + 20546.

It is an arithmetic number, because the mean of its divisors is an integer number (3372642).

Almost surely, 274714976 is an apocalyptic number.

It is an amenable number.

74714976 is an abundant number, since it is smaller than the sum of its proper divisors (168115248).

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

74714976 is a wasteful number, since it uses less digits than its factorization.

74714976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37084 (or 37073 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 74714976 is about 8643.7825053619. The cubic root of 74714976 is about 421.1814354796.

The spelling of 74714976 in words is "seventy-four million, seven hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 37061 74122 111183 148244 222366 259427 296488 333549 444732 518854 592976 667098 778281 889464 1037708 1185952 1334196 1556562 1778928 2075416 2334843 2668392 3113124 3557856 4150832 4669686 5336784 6226248 8301664 9339372 10673568 12452496 18678744 24904992 37357488 74714976