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76040576 = 272321123
BaseRepresentation
bin1001000100001…
…00100110000000
312022002021001122
410202010212000
5123431244301
611313451412
71612222433
oct442044600
9168067048
1076040576
1139a17457
1221570b68
13129a5131
14a15581a
156a2081b
hex4884980

76040576 has 48 divisors (see below), whose sum is σ = 158500860. Its totient is φ = 36334848.

The previous prime is 76040543. The next prime is 76040579. The reversal of 76040576 is 67504067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76040579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67151 + ... + 68273.

Almost surely, 276040576 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 76040576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79250430).

76040576 is an abundant number, since it is smaller than the sum of its proper divisors (82460284).

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

76040576 is a wasteful number, since it uses less digits than its factorization.

76040576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 76040576 is about 8720.1247697496. The cubic root of 76040576 is about 423.6577278112.

The spelling of 76040576 in words is "seventy-six million, forty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 529 736 1058 1123 1472 2116 2246 2944 4232 4492 8464 8984 16928 17968 25829 33856 35936 51658 67712 71872 103316 143744 206632 413264 594067 826528 1188134 1653056 2376268 3306112 4752536 9505072 19010144 38020288 76040576