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80376632 = 23729431151
BaseRepresentation
bin1001100101001…
…11001100111000
312121020120000022
410302213030320
5131034023012
611550430012
71664122130
oct462471470
9177216008
1080376632
1141409176
1222b02308
131386294b
14a963ac0
1570ca472
hex4ca7338

80376632 has 64 divisors (see below), whose sum is σ = 182476800. Its totient is φ = 32457600.

The previous prime is 80376623. The next prime is 80376641. The reversal of 80376632 is 23667308.

It is an interprime number because it is at equal distance from previous prime (80376623) and next prime (80376641).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 80376592 and 80376601.

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 15 ways as a sum of consecutive naturals, for example, 69257 + ... + 70407.

It is an arithmetic number, because the mean of its divisors is an integer number (2851200).

Almost surely, 280376632 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 80376632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91238400).

80376632 is an abundant number, since it is smaller than the sum of its proper divisors (102100168).

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

80376632 is a wasteful number, since it uses less digits than its factorization.

80376632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 80376632 is about 8965.3015565568. The cubic root of 80376632 is about 431.5620704986.

The spelling of 80376632 in words is "eighty million, three hundred seventy-six thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 29 43 56 58 86 116 172 203 232 301 344 406 602 812 1151 1204 1247 1624 2302 2408 2494 4604 4988 8057 8729 9208 9976 16114 17458 32228 33379 34916 49493 64456 66758 69832 98986 133516 197972 233653 267032 346451 395944 467306 692902 934612 1385804 1435297 1869224 2771608 2870594 5741188 10047079 11482376 20094158 40188316 80376632