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455665056 = 25371161643
BaseRepresentation
bin11011001010001…
…110010110100000
31011202102011221120
4123022032112200
51413122240211
6113114252240
714202042360
oct3312162640
91152364846
10455665056
112142359a0
12108727080
13735313c2
14447349a0
152a00bd06
hex1b28e5a0

455665056 has 96 divisors (see below), whose sum is σ = 1491291648. Its totient is φ = 118352640.

The previous prime is 455665039. The next prime is 455665073. The reversal of 455665056 is 650566554.

It is an interprime number because it is at equal distance from previous prime (455665039) and next prime (455665073).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 455664999 and 455665017.

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, 23430 + ... + 38213.

It is an arithmetic number, because the mean of its divisors is an integer number (15534288).

Almost surely, 2455665056 is an apocalyptic number.

It is an amenable number.

455665056 is an abundant number, since it is smaller than the sum of its proper divisors (1035626592).

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

455665056 is a wasteful number, since it uses less digits than its factorization.

455665056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61674 (or 61666 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The square root of 455665056 is about 21346.3124684335. The cubic root of 455665056 is about 769.5117250710.

The spelling of 455665056 in words is "four hundred fifty-five million, six hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 61643 123286 184929 246572 369858 431501 493144 678073 739716 863002 986288 1294503 1356146 1479432 1726004 1972576 2034219 2589006 2712292 2958864 3452008 4068438 4746511 5178012 5424584 5917728 6904016 8136876 9493022 10356024 10849168 13808032 14239533 16273752 18986044 20712048 21698336 28479066 32547504 37972088 41424096 56958132 65095008 75944176 113916264 151888352 227832528 455665056