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457243128 = 233223276113
BaseRepresentation
bin11011010000001…
…111100111111000
31011212101100122200
4123100033213320
51414023240003
6113212150200
714221334226
oct3320174770
91155340580
10457243128
11215113591
12109168360
1373964784
1444a25b16
152a21e6a3
hex1b40f9f8

457243128 has 48 divisors (see below), whose sum is σ = 1292213520. Its totient is φ = 145787136.

The previous prime is 457243109. The next prime is 457243139. The reversal of 457243128 is 821342754.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 457243092 and 457243101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136401 + ... + 139712.

It is an arithmetic number, because the mean of its divisors is an integer number (26921115).

Almost surely, 2457243128 is an apocalyptic number.

It is an amenable number.

457243128 is an abundant number, since it is smaller than the sum of its proper divisors (834970392).

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

457243128 is a wasteful number, since it uses less digits than its factorization.

457243128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276148 (or 276141 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 457243128 is about 21383.2440943838. The cubic root of 457243128 is about 770.3990330698.

The spelling of 457243128 in words is "four hundred fifty-seven million, two hundred forty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 276113 552226 828339 1104452 1656678 2208904 2485017 3313356 4970034 6350599 6626712 9940068 12701198 19051797 19880136 25402396 38103594 50804792 57155391 76207188 114310782 152414376 228621564 457243128