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80253768 = 233739749
BaseRepresentation
bin1001100100010…
…01001101001000
312121000022110210
410302021031020
5131021110033
611544041120
71663101000
oct462111510
9177008423
1080253768
1141334931
1222a631a0
131381ba4a
14a931000
1570a3d63
hex4c89348

80253768 has 64 divisors (see below), whose sum is σ = 234000000. Its totient is φ = 22927296.

The previous prime is 80253763. The next prime is 80253799. The reversal of 80253768 is 86735208.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (80253763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3358 + ... + 13106.

It is an arithmetic number, because the mean of its divisors is an integer number (3656250).

Almost surely, 280253768 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 80253768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117000000).

80253768 is an abundant number, since it is smaller than the sum of its proper divisors (153746232).

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

80253768 is a wasteful number, since it uses less digits than its factorization.

80253768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9779 (or 9761 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 80253768 is about 8958.4467403674. The cubic root of 80253768 is about 431.3420625968.

The spelling of 80253768 in words is "eighty million, two hundred fifty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 8232 9749 19498 29247 38996 58494 68243 77992 116988 136486 204729 233976 272972 409458 477701 545944 818916 955402 1433103 1637832 1910804 2866206 3343907 3821608 5732412 6687814 10031721 11464824 13375628 20063442 26751256 40126884 80253768