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76376328 = 23373831187
BaseRepresentation
bin1001000110101…
…10100100001000
312022201022121220
410203112210020
5124023020303
611325002040
71615121340
oct443264410
9168638556
1076376328
113a126736
12216b3320
1312a91bc2
14a201d20
156a8a053
hex48d6908

76376328 has 64 divisors (see below), whose sum is σ = 218972160. Its totient is φ = 21746496.

The previous prime is 76376327. The next prime is 76376341. The reversal of 76376328 is 82367367.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 76376328.

It is not an unprimeable number, because it can be changed into a prime (76376327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63751 + ... + 64937.

It is an arithmetic number, because the mean of its divisors is an integer number (3421440).

Almost surely, 276376328 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 76376328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109486080).

76376328 is an abundant number, since it is smaller than the sum of its proper divisors (142595832).

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

76376328 is a wasteful number, since it uses less digits than its factorization.

76376328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1582 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 76376328 is about 8739.3551249506. The cubic root of 76376328 is about 424.2803562938.

The spelling of 76376328 in words is "seventy-six million, three hundred seventy-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 383 766 1149 1187 1532 2298 2374 2681 3064 3561 4596 4748 5362 7122 8043 8309 9192 9496 10724 14244 16086 16618 21448 24927 28488 32172 33236 49854 64344 66472 99708 199416 454621 909242 1363863 1818484 2727726 3182347 3636968 5455452 6364694 9547041 10910904 12729388 19094082 25458776 38188164 76376328