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80246016 = 2832291201
BaseRepresentation
bin1001100100001…
…11010100000000
312120222220211200
410302013110000
5131020333031
611543541200
71663036254
oct462072400
9176886750
1080246016
114132a024
1222a5a800
1313818366
14a92c264
1570a18e6
hex4c87500

80246016 has 108 divisors (see below), whose sum is σ = 239546580. Its totient is φ = 25804800.

The previous prime is 80245999. The next prime is 80246021. The reversal of 80246016 is 61064208.

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 66585600 = 3696^2 + 8160^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66216 + ... + 67416.

Almost surely, 280246016 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 80246016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119773290).

80246016 is an abundant number, since it is smaller than the sum of its proper divisors (159300564).

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

80246016 is a wasteful number, since it uses less digits than its factorization.

80246016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 80246016 is about 8958.0140656286. The cubic root of 80246016 is about 431.3281738561.

The spelling of 80246016 in words is "eighty million, two hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1152 1201 1392 1856 2088 2304 2402 2784 3603 3712 4176 4804 5568 7206 7424 8352 9608 10809 11136 14412 16704 19216 21618 22272 28824 33408 34829 38432 43236 57648 66816 69658 76864 86472 104487 115296 139316 153728 172944 208974 230592 278632 307456 313461 345888 417948 461184 557264 626922 691776 835896 922368 1114528 1253844 1383552 1671792 2229056 2507688 2767104 3343584 4458112 5015376 6687168 8916224 10030752 13374336 20061504 26748672 40123008 80246016