Search a number
-
+
460545057 = 32747155537
BaseRepresentation
bin11011011100110…
…101110000100001
31012002121010001100
4123130311300201
51420344420212
6113411025013
714261365650
oct3334656041
91162533040
10460545057
11216a69355
1210a29b169
137454c68b
1445245197
152a672bdc
hex1b735c21

460545057 has 24 divisors (see below), whose sum is σ = 776445696. Its totient is φ = 257567616.

The previous prime is 460544881. The next prime is 460545073. The reversal of 460545057 is 750545064.

It is a happy number.

460545057 is a `hidden beast` number, since 4 + 60 + 545 + 0 + 57 = 666.

It is not a de Polignac number, because 460545057 - 211 = 460543009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (460545157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74808 + ... + 80729.

It is an arithmetic number, because the mean of its divisors is an integer number (32351904).

Almost surely, 2460545057 is an apocalyptic number.

460545057 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

460545057 is a deficient number, since it is larger than the sum of its proper divisors (315900639).

460545057 is a wasteful number, since it uses less digits than its factorization.

460545057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155597 (or 155594 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 460545057 is about 21460.3135345223. The cubic root of 460545057 is about 772.2490365223.

The spelling of 460545057 in words is "four hundred sixty million, five hundred forty-five thousand, fifty-seven".

Divisors: 1 3 7 9 21 47 63 141 329 423 987 2961 155537 466611 1088759 1399833 3266277 7310239 9798831 21930717 51171673 65792151 153515019 460545057