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457752645 = 325713111093
BaseRepresentation
bin11011010010001…
…100000001000101
31011220100020120200
4123102030001011
51414141041040
6113231121113
714225555550
oct3322140105
91156306520
10457752645
11215431379
12109373199
1373ab266c
1444b19697
152a2c0630
hex1b48c045

457752645 has 48 divisors (see below), whose sum is σ = 913790592. Its totient is φ = 207642240.

The previous prime is 457752629. The next prime is 457752649. The reversal of 457752645 is 546257754.

It is not a de Polignac number, because 457752645 - 24 = 457752629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 457752645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457752649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35719 + ... + 46811.

It is an arithmetic number, because the mean of its divisors is an integer number (19037304).

Almost surely, 2457752645 is an apocalyptic number.

457752645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

457752645 is a deficient number, since it is larger than the sum of its proper divisors (456037947).

457752645 is a wasteful number, since it uses less digits than its factorization.

457752645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11242 (or 11239 counting only the distinct ones).

The product of its digits is 1176000, while the sum is 45.

The square root of 457752645 is about 21395.1547084848. The cubic root of 457752645 is about 770.6850848935.

The spelling of 457752645 in words is "four hundred fifty-seven million, seven hundred fifty-two thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 131 315 393 655 917 1179 1965 2751 4585 5895 8253 11093 13755 33279 41265 55465 77651 99837 166395 232953 388255 499185 698859 1164765 1453183 3494295 4359549 7265915 10172281 13078647 21797745 30516843 50861405 65393235 91550529 152584215 457752645