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80946008 = 231113173409
BaseRepresentation
bin1001101001100…
…10001101011000
312122022111001022
410310302031120
5131210233013
612010542012
72002013123
oct464621530
9178274038
1080946008
1141767a30
1223137908
1313a01b60
14aa713ba
15718e008
hex4d32358

80946008 has 64 divisors (see below), whose sum is σ = 179776800. Its totient is φ = 33684480.

The previous prime is 80945987. The next prime is 80946029. The reversal of 80946008 is 80064908.

It is a Cunningham number, because it is equal to 89972-1.

It is an interprime number because it is at equal distance from previous prime (80945987) and next prime (80946029).

It is a super-2 number, since 2×809460082 = 13104512422272128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197708 + ... + 198116.

Almost surely, 280946008 is an apocalyptic number.

80946008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80946008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89888400).

80946008 is an abundant number, since it is smaller than the sum of its proper divisors (98830792).

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

80946008 is a wasteful number, since it uses less digits than its factorization.

80946008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 80946008 is about 8996.9999444259. Note that the first 4 decimals coincide. The cubic root of 80946008 is about 432.5787139971.

The spelling of 80946008 in words is "eighty million, nine hundred forty-six thousand, eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 173 286 346 409 572 692 818 1144 1384 1636 1903 2249 3272 3806 4498 4499 5317 7612 8996 8998 10634 15224 17992 17996 21268 24739 35992 42536 49478 58487 70757 98956 116974 141514 197912 233948 283028 467896 566056 778327 919841 1556654 1839682 3113308 3679364 6226616 7358728 10118251 20236502 40473004 80946008