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457038472 = 231117217971
BaseRepresentation
bin11011001111011…
…101101010001000
31011211222221220211
4123033131222020
51414000212342
6113203530504
714216522452
oct3317355210
91154887824
10457038472
11214a93850
12109089a34
13738c2587
14449b12d2
152a1cdc17
hex1b3dda88

457038472 has 48 divisors (see below), whose sum is σ = 993132720. Its totient is φ = 195513600.

The previous prime is 457038457. The next prime is 457038479. The reversal of 457038472 is 274830754.

It is not an unprimeable number, because it can be changed into a prime (457038479) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16447 + ... + 34417.

It is an arithmetic number, because the mean of its divisors is an integer number (20690265).

Almost surely, 2457038472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457038472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496566360).

457038472 is an abundant number, since it is smaller than the sum of its proper divisors (536094248).

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

457038472 is a wasteful number, since it uses less digits than its factorization.

457038472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18022 (or 18001 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The square root of 457038472 is about 21378.4581296220. The cubic root of 457038472 is about 770.2840757645.

The spelling of 457038472 in words is "four hundred fifty-seven million, thirty-eight thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 289 374 578 748 1156 1496 2312 3179 6358 12716 17971 25432 35942 71884 143768 197681 305507 395362 611014 790724 1222028 1581448 2444056 3360577 5193619 6721154 10387238 13442308 20774476 26884616 41548952 57129809 114259618 228519236 457038472