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76331328 = 2631792221
BaseRepresentation
bin1001000110010…
…11100101000000
312022122000220020
410203023211000
5124020100303
611324013440
71614543213
oct443134500
9168560806
1076331328
113a0a5947
1221691280
1312a77588
14a1cd77a
156a7ba53
hex48cb940

76331328 has 56 divisors (see below), whose sum is σ = 203179680. Its totient is φ = 25290240.

The previous prime is 76331323. The next prime is 76331329. The reversal of 76331328 is 82313367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76331323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33258 + ... + 35478.

Almost surely, 276331328 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 76331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101589840).

76331328 is an abundant number, since it is smaller than the sum of its proper divisors (126848352).

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

76331328 is a wasteful number, since it uses less digits than its factorization.

76331328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2405 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 76331328 is about 8736.7801849423. The cubic root of 76331328 is about 424.1970129880.

The spelling of 76331328 in words is "seventy-six million, three hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 179 192 358 537 716 1074 1432 2148 2221 2864 4296 4442 5728 6663 8592 8884 11456 13326 17184 17768 26652 34368 35536 53304 71072 106608 142144 213216 397559 426432 795118 1192677 1590236 2385354 3180472 4770708 6360944 9541416 12721888 19082832 25443776 38165664 76331328