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470493 = 3261857
BaseRepresentation
bin1110010110111011101
3212220101200
41302313131
5110023433
614030113
73666462
oct1626735
9786350
10470493
112a1541
121a8339
131361ca
14c3669
1594613
hex72ddd

470493 has 12 divisors (see below), whose sum is σ = 691548. Its totient is φ = 308160.

The previous prime is 470489. The next prime is 470501. The reversal of 470493 is 394074.

It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 257049 = 462^2 + 507^2 .

It is not a de Polignac number, because 470493 - 22 = 470489 is a prime.

470493 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 470493.

It is not an unprimeable number, because it can be changed into a prime (470413) by changing a digit.

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, 121 + ... + 977.

It is an arithmetic number, because the mean of its divisors is an integer number (57629).

2470493 is an apocalyptic number.

It is an amenable number.

470493 is a deficient number, since it is larger than the sum of its proper divisors (221055).

470493 is a wasteful number, since it uses less digits than its factorization.

470493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 470493 is about 685.9249230054. The cubic root of 470493 is about 77.7769763334.

The spelling of 470493 in words is "four hundred seventy thousand, four hundred ninety-three".

Divisors: 1 3 9 61 183 549 857 2571 7713 52277 156831 470493