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457505742 = 232317918521
BaseRepresentation
bin11011010001001…
…111101111001110
31011212212200220010
4123101033233032
51414110140432
6113221534050
714223506661
oct3321175716
91155780803
10457505742
11215282921
12109274326
1373a27175
1444a936d8
152a2723cc
hex1b44fbce

457505742 has 32 divisors (see below), whose sum is σ = 960180480. Its totient is φ = 145048640.

The previous prime is 457505707. The next prime is 457505743. The reversal of 457505742 is 247505754.

It is a self number, because there is not a number n which added to its sum of digits gives 457505742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457505743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15442 + ... + 33962.

It is an arithmetic number, because the mean of its divisors is an integer number (30005640).

Almost surely, 2457505742 is an apocalyptic number.

457505742 is an abundant number, since it is smaller than the sum of its proper divisors (502674738).

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

457505742 is a wasteful number, since it uses less digits than its factorization.

457505742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18728.

The product of its (nonzero) digits is 196000, while the sum is 39.

The square root of 457505742 is about 21389.3838620938. The cubic root of 457505742 is about 770.5464957204.

The spelling of 457505742 in words is "four hundred fifty-seven million, five hundred five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 23 46 69 138 179 358 537 1074 4117 8234 12351 18521 24702 37042 55563 111126 425983 851966 1277949 2555898 3315259 6630518 9945777 19891554 76250957 152501914 228752871 457505742