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80095392 = 2534132377
BaseRepresentation
bin1001100011000…
…10100010100000
312120201021020000
410301202202200
5131001023032
611540420000
71661541156
oct461424240
9176637200
1080095392
1141236943
12229a7600
1313794930
14a8cd3d6
157071e7c
hex4c628a0

80095392 has 120 divisors (see below), whose sum is σ = 253784916. Its totient is φ = 24634368.

The previous prime is 80095387. The next prime is 80095399. The reversal of 80095392 is 29359008.

It can be written as a sum of positive squares in 2 ways, for example, as 75272976 + 4822416 = 8676^2 + 2196^2 .

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

It is not an unprimeable number, because it can be changed into a prime (80095399) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32508 + ... + 34884.

Almost surely, 280095392 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 80095392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126892458).

80095392 is an abundant number, since it is smaller than the sum of its proper divisors (173689524).

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

80095392 is a wasteful number, since it uses less digits than its factorization.

80095392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 80095392 is about 8949.6028962184. The cubic root of 80095392 is about 431.0581331750.

The spelling of 80095392 in words is "eighty million, ninety-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2377 2592 2808 3744 4212 4754 5616 7131 8424 9508 11232 14262 16848 19016 21393 28524 30901 33696 38032 42786 57048 61802 64179 76064 85572 92703 114096 123604 128358 171144 185406 192537 228192 247208 256716 278109 342288 370812 385074 494416 513432 556218 684576 741624 770148 834327 988832 1026864 1112436 1483248 1540296 1668654 2053728 2224872 2502981 2966496 3080592 3337308 4449744 5005962 6161184 6674616 8899488 10011924 13349232 20023848 26698464 40047696 80095392