Search a number
-
+
457470738 = 23237686893
BaseRepresentation
bin11011010001000…
…111001100010010
31011212210220212200
4123101013030102
51414103030423
6113221104030
714223302634
oct3321071422
91155726780
10457470738
1121525959a
12109258016
1373a1425a
1444a84a54
152a266d43
hex1b447312

457470738 has 24 divisors (see below), whose sum is σ = 1017976908. Its totient is φ = 148368672.

The previous prime is 457470691. The next prime is 457470773. The reversal of 457470738 is 837074754.

457470738 is a `hidden beast` number, since 4 + 574 + 7 + 0 + 73 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 453562209 + 3908529 = 21297^2 + 1977^2 .

It is a super-2 number, since 2×4574707382 = 418558952252529288, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 457470693 and 457470702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342781 + ... + 344112.

Almost surely, 2457470738 is an apocalyptic number.

457470738 is an abundant number, since it is smaller than the sum of its proper divisors (560506170).

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

457470738 is a wasteful number, since it uses less digits than its factorization.

457470738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686938 (or 686935 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 457470738 is about 21388.5655900530. The cubic root of 457470738 is about 770.5268435827.

The spelling of 457470738 in words is "four hundred fifty-seven million, four hundred seventy thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 686893 1373786 2060679 4121358 6182037 12364074 25415041 50830082 76245123 152490246 228735369 457470738