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76668928 = 21372191
BaseRepresentation
bin1001001000111…
…10000000000000
312100021011222221
410210132000000
5124111401203
611335140424
71620450400
oct444360000
9170234887
1076668928
113a306556
1221814714
1312b6513b
14a27a800
156ae6abd
hex491e000

76668928 has 84 divisors (see below), whose sum is σ = 179295552. Its totient is φ = 32686080.

The previous prime is 76668923. The next prime is 76668931. The reversal of 76668928 is 82986667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76668923) 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, 401313 + ... + 401503.

Almost surely, 276668928 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 76668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89647776).

76668928 is an abundant number, since it is smaller than the sum of its proper divisors (102626624).

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

76668928 is an equidigital number, since it uses as much as digits as its factorization.

76668928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 200 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The square root of 76668928 is about 8756.0794879900. The cubic root of 76668928 is about 424.8214761162.

The spelling of 76668928 in words is "seventy-six million, six hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 191 196 224 256 382 392 448 512 764 784 896 1024 1337 1528 1568 1792 2048 2674 3056 3136 3584 4096 5348 6112 6272 7168 8192 9359 10696 12224 12544 14336 18718 21392 24448 25088 28672 37436 42784 48896 50176 57344 74872 85568 97792 100352 149744 171136 195584 200704 299488 342272 391168 401408 598976 684544 782336 1197952 1369088 1564672 2395904 2738176 4791808 5476352 9583616 10952704 19167232 38334464 76668928