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80900928 = 2632140453
BaseRepresentation
bin1001101001001…
…11001101000000
312122020012012200
410310213031000
5131202312203
612005553200
72001434523
oct464471500
9178205180
1080900928
1141737079
1223115800
13139b7494
14aa5cbba
1571809a3
hex4d27340

80900928 has 42 divisors (see below), whose sum is σ = 231889554. Its totient is φ = 26966784.

The previous prime is 80900921. The next prime is 80900929. The reversal of 80900928 is 82900908.

It can be written as a sum of positive squares in only one way, i.e., 75481344 + 5419584 = 8688^2 + 2328^2 .

It is a super-2 number, since 2×809009282 = 13089920302522368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80900892 and 80900901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80900921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69651 + ... + 70802.

Almost surely, 280900928 is an apocalyptic number.

It is an amenable number.

80900928 is an abundant number, since it is smaller than the sum of its proper divisors (150988626).

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

80900928 is a wasteful number, since it uses less digits than its factorization.

80900928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140471 (or 140458 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 80900928 is about 8994.4943159691. The cubic root of 80900928 is about 432.4983959757.

The spelling of 80900928 in words is "eighty million, nine hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 140453 280906 421359 561812 842718 1123624 1264077 1685436 2247248 2528154 3370872 4494496 5056308 6741744 8988992 10112616 13483488 20225232 26966976 40450464 80900928