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80364816 = 24327611307
BaseRepresentation
bin1001100101001…
…00010100010000
312121012221210200
410302210110100
5131033133231
611550255200
71664042520
oct462442420
9177187720
1080364816
1141400304
1222ab7500
131385a45c
14a95d680
1570c6be6
hex4ca4510

80364816 has 120 divisors (see below), whose sum is σ = 261453504. Its totient is φ = 22567680.

The previous prime is 80364773. The next prime is 80364827. The reversal of 80364816 is 61846308.

It is a happy number.

80364816 is a `hidden beast` number, since 8 + 0 + 3 + 648 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60835 + ... + 62141.

Almost surely, 280364816 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 80364816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130726752).

80364816 is an abundant number, since it is smaller than the sum of its proper divisors (181088688).

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

80364816 is a wasteful number, since it uses less digits than its factorization.

80364816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 80364816 is about 8964.6425472520. The cubic root of 80364816 is about 431.5409217841.

The spelling of 80364816 in words is "eighty million, three hundred sixty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 61 63 72 84 112 122 126 144 168 183 244 252 336 366 427 488 504 549 732 854 976 1008 1098 1281 1307 1464 1708 2196 2562 2614 2928 3416 3843 3921 4392 5124 5228 6832 7686 7842 8784 9149 10248 10456 11763 15372 15684 18298 20496 20912 23526 27447 30744 31368 36596 47052 54894 61488 62736 73192 79727 82341 94104 109788 146384 159454 164682 188208 219576 239181 318908 329364 439152 478362 558089 637816 658728 717543 956724 1116178 1275632 1317456 1435086 1674267 1913448 2232356 2870172 3348534 3826896 4464712 5022801 5740344 6697068 8929424 10045602 11480688 13394136 20091204 26788272 40182408 80364816