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76540736 = 2631173223
BaseRepresentation
bin1001000111111…
…10101101000000
312100000200011002
410203332231000
5124043300421
611332311132
71616404556
oct443765500
9170020132
1076540736
113a229208
12217724a8
1312b1b99c
14a245bd6
156abdb0b
hex48feb40

76540736 has 56 divisors (see below), whose sum is σ = 158398464. Its totient is φ = 36656640.

The previous prime is 76540703. The next prime is 76540777. The reversal of 76540736 is 63704567.

It is a self number, because there is not a number n which added to its sum of digits gives 76540736.

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 7 ways as a sum of consecutive naturals, for example, 343121 + ... + 343343.

It is an arithmetic number, because the mean of its divisors is an integer number (2828544).

Almost surely, 276540736 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 76540736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79199232).

76540736 is an abundant number, since it is smaller than the sum of its proper divisors (81857728).

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

76540736 is a wasteful number, since it uses less digits than its factorization.

76540736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The square root of 76540736 is about 8748.7562544627. The cubic root of 76540736 is about 424.5845739954.

The spelling of 76540736 in words is "seventy-six million, five hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 173 223 248 346 446 496 692 892 992 1384 1784 1984 2768 3568 5363 5536 6913 7136 10726 11072 13826 14272 21452 27652 38579 42904 55304 77158 85808 110608 154316 171616 221216 308632 343232 442432 617264 1195949 1234528 2391898 2469056 4783796 9567592 19135184 38270368 76540736