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457031250 = 2325913
BaseRepresentation
bin11011001111011…
…011111001010010
31011211222121000100
4123033123321102
51414000000000
6113203433230
714216462424
oct3317337122
91154877010
10457031250
11214a89385
12109085816
13738bc1c0
14449ac814
152a1cba00
hex1b3dbe52

457031250 has 120 divisors (see below), whose sum is σ = 1333007676. Its totient is φ = 112500000.

The previous prime is 457031249. The next prime is 457031257. The reversal of 457031250 is 52130754.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 206410689 + 250620561 = 14367^2 + 15831^2 .

It is not an unprimeable number, because it can be changed into a prime (457031257) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35156244 + ... + 35156256.

Almost surely, 2457031250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457031250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666503838).

457031250 is an abundant number, since it is smaller than the sum of its proper divisors (875976426).

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

457031250 is an frugal number, since it uses more digits than its factorization.

457031250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 457031250 is about 21378.2892206088. The cubic root of 457031250 is about 770.2800184686.

The spelling of 457031250 in words is "four hundred fifty-seven million, thirty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 125 130 150 195 225 234 250 325 375 390 450 585 625 650 750 975 1125 1170 1250 1625 1875 1950 2250 2925 3125 3250 3750 4875 5625 5850 6250 8125 9375 9750 11250 14625 15625 16250 18750 24375 28125 29250 31250 40625 46875 48750 56250 73125 78125 81250 93750 121875 140625 146250 156250 203125 234375 243750 281250 365625 390625 406250 468750 609375 703125 731250 781250 1015625 1171875 1218750 1406250 1828125 1953125 2031250 2343750 3046875 3515625 3656250 3906250 5078125 5859375 6093750 7031250 9140625 10156250 11718750 15234375 17578125 18281250 25390625 30468750 35156250 45703125 50781250 76171875 91406250 152343750 228515625 457031250