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80540928 = 2832132689
BaseRepresentation
bin1001100110011…
…11010100000000
312121112220101100
410303033110000
5131104302203
611554134400
71665405126
oct463172400
9177486340
1080540928
1141510656
1222b81400
13138bc670
14a9a7916
15710dea3
hex4ccf500

80540928 has 108 divisors (see below), whose sum is σ = 250175380. Its totient is φ = 24772608.

The previous prime is 80540899. The next prime is 80540969. The reversal of 80540928 is 82904508.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 73822464 = 2592^2 + 8592^2 .

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 = 80540892 and 80540901.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28608 + ... + 31296.

Almost surely, 280540928 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 80540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125087690).

80540928 is an abundant number, since it is smaller than the sum of its proper divisors (169634452).

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

80540928 is a wasteful number, since it uses less digits than its factorization.

80540928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 80540928 is about 8974.4597608993. The cubic root of 80540928 is about 431.8559190295.

The spelling of 80540928 in words is "eighty million, five hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 2689 3328 3744 4992 5378 7488 8067 9984 10756 14976 16134 21512 24201 29952 32268 34957 43024 48402 64536 69914 86048 96804 104871 129072 139828 172096 193608 209742 258144 279656 314613 344192 387216 419484 516288 559312 629226 688384 774432 838968 1032576 1118624 1258452 1548864 1677936 2065152 2237248 2516904 3097728 3355872 4474496 5033808 6195456 6711744 8948992 10067616 13423488 20135232 26846976 40270464 80540928