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457385550 = 23526771641
BaseRepresentation
bin11011010000110…
…010011001001110
31011212122121000120
4123100302121032
51414042314200
6113215205410
714222466366
oct3320623116
91155577016
10457385550
11215200596
12109216866
13739b454b
1444a619a6
152a24b9a0
hex1b43264e

457385550 has 96 divisors (see below), whose sum is σ = 1169282304. Its totient is φ = 118272000.

The previous prime is 457385549. The next prime is 457385557. The reversal of 457385550 is 55583754.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457385557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 713230 + ... + 713870.

It is an arithmetic number, because the mean of its divisors is an integer number (12180024).

Almost surely, 2457385550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457385550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584641152).

457385550 is an abundant number, since it is smaller than the sum of its proper divisors (711896754).

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

457385550 is a wasteful number, since it uses less digits than its factorization.

457385550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 42.

The square root of 457385550 is about 21386.5740594421. The cubic root of 457385550 is about 770.4790126797.

The spelling of 457385550 in words is "four hundred fifty-seven million, three hundred eighty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 67 71 75 134 142 150 201 213 335 355 402 426 641 670 710 1005 1065 1282 1675 1775 1923 2010 2130 3205 3350 3550 3846 4757 5025 5325 6410 9514 9615 10050 10650 14271 16025 19230 23785 28542 32050 42947 45511 47570 48075 71355 85894 91022 96150 118925 128841 136533 142710 214735 227555 237850 257682 273066 356775 429470 455110 644205 682665 713550 1073675 1137775 1288410 1365330 2147350 2275550 3049237 3221025 3413325 6098474 6442050 6826650 9147711 15246185 18295422 30492370 45738555 76230925 91477110 152461850 228692775 457385550