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457242828 = 223719286493
BaseRepresentation
bin11011010000001…
…111100011001100
31011212101100020120
4123100033203030
51414023232303
6113212144540
714221333320
oct3320174314
91155340216
10457242828
11215113339
12109168150
13739645b3
1444a25980
152a21e553
hex1b40f8cc

457242828 has 48 divisors (see below), whose sum is σ = 1283493120. Its totient is φ = 123764544.

The previous prime is 457242823. The next prime is 457242859. The reversal of 457242828 is 828242754.

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

It is a self number, because there is not a number n which added to its sum of digits gives 457242828.

It is not an unprimeable number, because it can be changed into a prime (457242823) 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, 141651 + ... + 144842.

It is an arithmetic number, because the mean of its divisors is an integer number (26739440).

Almost surely, 2457242828 is an apocalyptic number.

It is an amenable number.

457242828 is an abundant number, since it is smaller than the sum of its proper divisors (826250292).

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

457242828 is a wasteful number, since it uses less digits than its factorization.

457242828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286526 (or 286524 counting only the distinct ones).

The product of its digits is 286720, while the sum is 42.

The square root of 457242828 is about 21383.2370795443. The cubic root of 457242828 is about 770.3988645819.

The spelling of 457242828 in words is "four hundred fifty-seven million, two hundred forty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 286493 572986 859479 1145972 1718958 2005451 3437916 4010902 5443367 6016353 8021804 10886734 12032706 16330101 21773468 24065412 32660202 38103569 65320404 76207138 114310707 152414276 228621414 457242828