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80616492 = 223311231199
BaseRepresentation
bin1001100111000…
…01110000101100
312121200202001000
410303201300230
5131114211432
611555520300
71666141335
oct463416054
9177622030
1080616492
1141562400
1222bb9090
1313917b88
14a9c728c
15712657c
hex4ce1c2c

80616492 has 144 divisors (see below), whose sum is σ = 238336000. Its totient is φ = 23522400.

The previous prime is 80616469. The next prime is 80616493. The reversal of 80616492 is 29461608.

80616492 is a `hidden beast` number, since 8 + 0 + 6 + 1 + 649 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80616493) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405009 + ... + 405207.

Almost surely, 280616492 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 80616492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119168000).

80616492 is an abundant number, since it is smaller than the sum of its proper divisors (157719508).

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

80616492 is a wasteful number, since it uses less digits than its factorization.

80616492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 80616492 is about 8978.6687209185. The cubic root of 80616492 is about 431.9909334517.

The spelling of 80616492 in words is "eighty million, six hundred sixteen thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 121 124 132 186 198 199 242 279 297 341 363 372 396 398 484 558 594 597 682 726 796 837 1023 1089 1116 1188 1194 1364 1452 1674 1791 2046 2178 2189 2388 3069 3267 3348 3582 3751 4092 4356 4378 5373 6138 6169 6534 6567 7164 7502 8756 9207 10746 11253 12276 12338 13068 13134 15004 18414 18507 19701 21492 22506 24079 24676 26268 33759 36828 37014 39402 45012 48158 55521 59103 67518 67859 72237 74028 78804 96316 101277 111042 118206 135036 135718 144474 166563 202554 203577 216711 222084 236412 271436 288948 333126 405108 407154 433422 610731 650133 666252 746449 814308 866844 1221462 1300266 1492898 1832193 2239347 2442924 2600532 2985796 3664386 4478694 6718041 7328772 8957388 13436082 20154123 26872164 40308246 80616492