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80587416 = 23371336899
BaseRepresentation
bin1001100110110…
…10101010011000
312121122021011010
410303122222120
5131112244131
611555133520
71665660510
oct463325230
9177567133
1080587416
1141542578
1222ba42a0
1313907880
14a9ba840
15711cb46
hex4cdaa98

80587416 has 64 divisors (see below), whose sum is σ = 247968000. Its totient is φ = 21253248.

The previous prime is 80587393. The next prime is 80587421. The reversal of 80587416 is 61478508.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16266 + ... + 20633.

It is an arithmetic number, because the mean of its divisors is an integer number (3874500).

Almost surely, 280587416 is an apocalyptic number.

It is an amenable number.

80587416 is an abundant number, since it is smaller than the sum of its proper divisors (167380584).

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

80587416 is a wasteful number, since it uses less digits than its factorization.

80587416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36928 (or 36924 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 80587416 is about 8977.0494038966. The cubic root of 80587416 is about 431.9389917276.

It can be divided in two parts, 80587 and 416, that added together give a triangular number (81003 = T402).

The spelling of 80587416 in words is "eighty million, five hundred eighty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 36899 73798 110697 147596 221394 258293 295192 442788 479687 516586 774879 885576 959374 1033172 1439061 1549758 1918748 2066344 2878122 3099516 3357809 3837496 5756244 6199032 6715618 10073427 11512488 13431236 20146854 26862472 40293708 80587416