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80086864 = 241113172971
BaseRepresentation
bin1001100011000…
…00011101010000
312120200211112011
410301200131100
5131000234424
611540312304
71661504254
oct461403520
9176624464
1080086864
11412304a0
12229a2694
1313790aa0
14a8ca264
15706e694
hex4c60750

80086864 has 160 divisors (see below), whose sum is σ = 202487040. Its totient is φ = 30105600.

The previous prime is 80086861. The next prime is 80086871. The reversal of 80086864 is 46868008.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80086861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127949 + ... + 1128019.

It is an arithmetic number, because the mean of its divisors is an integer number (1265544).

Almost surely, 280086864 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 80086864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

80086864 is an abundant number, since it is smaller than the sum of its proper divisors (122400176).

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

80086864 is a wasteful number, since it uses less digits than its factorization.

80086864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 80086864 is about 8949.1264378150. The cubic root of 80086864 is about 431.0428339418.

The spelling of 80086864 in words is "eighty million, eighty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 17 22 26 29 34 44 52 58 68 71 88 104 116 136 142 143 176 187 208 221 232 272 284 286 319 374 377 442 464 493 568 572 638 748 754 781 884 923 986 1136 1144 1207 1276 1496 1508 1562 1768 1846 1972 2059 2288 2414 2431 2552 2992 3016 3124 3536 3692 3944 4118 4147 4828 4862 5104 5423 6032 6248 6409 7384 7888 8236 8294 9656 9724 10153 10846 12496 12818 13277 14768 15691 16472 16588 19312 19448 20306 21692 22649 25636 26554 26767 31382 32944 33176 35003 38896 40612 43384 45298 51272 53108 53534 62764 66352 70006 70499 81224 86768 90596 102544 106216 107068 125528 140012 140998 162448 172601 181192 212432 214136 251056 280024 281996 294437 345202 362384 385033 428272 455039 560048 563992 588874 690404 770066 910078 1127984 1177748 1380808 1540132 1820156 2355496 2761616 3080264 3640312 4710992 5005429 6160528 7280624 10010858 20021716 40043432 80086864