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80405472 = 2537217093
BaseRepresentation
bin1001100101011…
…10001111100000
312121022000120110
410302232033200
5131040433342
611551211320
71664302200
oct462561740
9177260513
1080405472
1141428904
1222b16b40
1313872b04
14a970400
1570d3c9c
hex4cae3e0

80405472 has 72 divisors (see below), whose sum is σ = 245538216. Its totient is φ = 22971648.

The previous prime is 80405459. The next prime is 80405491. The reversal of 80405472 is 27450408.

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 11 ways as a sum of consecutive naturals, for example, 3843 + ... + 13250.

It is an arithmetic number, because the mean of its divisors is an integer number (3410253).

Almost surely, 280405472 is an apocalyptic number.

It is an amenable number.

80405472 is an abundant number, since it is smaller than the sum of its proper divisors (165132744).

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

80405472 is a wasteful number, since it uses less digits than its factorization.

80405472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17120 (or 17105 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 80405472 is about 8966.9098356123. The cubic root of 80405472 is about 431.6136806971.

The spelling of 80405472 in words is "eighty million, four hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 17093 34186 51279 68372 102558 119651 136744 205116 239302 273488 358953 410232 478604 546976 717906 820464 837557 957208 1435812 1640928 1675114 1914416 2512671 2871624 3350228 3828832 5025342 5743248 6700456 10050684 11486496 13400912 20101368 26801824 40202736 80405472