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80426016 = 25321153479
BaseRepresentation
bin1001100101100…
…11010000100000
312121100001202100
410302303100200
5131042113031
611551450400
71664416116
oct462632040
9177301670
1080426016
1141442290
1222b26a00
131387c278
14a977ab6
1570d9de6
hex4cb3420

80426016 has 144 divisors (see below), whose sum is σ = 254741760. Its totient is φ = 23861760.

The previous prime is 80426011. The next prime is 80426023. The reversal of 80426016 is 61062408.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (80426011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167665 + ... + 168143.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 280426016 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 80426016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

80426016 is an abundant number, since it is smaller than the sum of its proper divisors (174315744).

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

80426016 is a wasteful number, since it uses less digits than its factorization.

80426016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 548 counting only the distinct ones).

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

The square root of 80426016 is about 8968.0553075904. The cubic root of 80426016 is about 431.6504373844.

The spelling of 80426016 in words is "eighty million, four hundred twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 53 66 72 88 96 99 106 132 144 159 176 198 212 264 288 318 352 396 424 477 479 528 583 636 792 848 954 958 1056 1166 1272 1437 1584 1696 1749 1908 1916 2332 2544 2874 3168 3498 3816 3832 4311 4664 5088 5247 5269 5748 6996 7632 7664 8622 9328 10494 10538 11496 13992 15264 15328 15807 17244 18656 20988 21076 22992 25387 27984 31614 34488 41976 42152 45984 47421 50774 55968 63228 68976 76161 83952 84304 94842 101548 126456 137952 152322 167904 168608 189684 203096 228483 252912 279257 304644 379368 406192 456966 505824 558514 609288 758736 812384 837771 913932 1117028 1218576 1517472 1675542 1827864 2234056 2437152 2513313 3351084 3655728 4468112 5026626 6702168 7311456 8936224 10053252 13404336 20106504 26808672 40213008 80426016