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76282464 = 253797997
BaseRepresentation
bin1001000101111…
…11101001100000
312022112112212110
410202333221200
5124012014324
611322555320
71614250566
oct442775140
9168475773
1076282464
113a072165
1221668b40
1312a5b26b
14a1b9a36
156a6c329
hex48bfa60

76282464 has 48 divisors (see below), whose sum is σ = 200693808. Its totient is φ = 25370112.

The previous prime is 76282463. The next prime is 76282469. The reversal of 76282464 is 46428267.

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

It is a super-2 number, since 2×762824642 = 11638028627822592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76282463) by changing a digit.

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, 76014 + ... + 77010.

It is an arithmetic number, because the mean of its divisors is an integer number (4181121).

Almost surely, 276282464 is an apocalyptic number.

It is an amenable number.

76282464 is an abundant number, since it is smaller than the sum of its proper divisors (124411344).

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

76282464 is a wasteful number, since it uses less digits than its factorization.

76282464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1799 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 76282464 is about 8733.9832837028. The cubic root of 76282464 is about 424.1064761665.

The spelling of 76282464 in words is "seventy-six million, two hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 797 997 1594 1994 2391 2991 3188 3988 4782 5982 6376 7976 9564 11964 12752 15952 19128 23928 25504 31904 38256 47856 76512 95712 794609 1589218 2383827 3178436 4767654 6356872 9535308 12713744 19070616 25427488 38141232 76282464