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460897052 = 227119715427
BaseRepresentation
bin11011011110001…
…011101100011100
31012010020222220012
4123132023230130
51420442201202
6113422342352
714264363120
oct3336135434
91163228805
10460897052
11217189860
1210a42a9b8
1374643965
14452d7580
152a6e2152
hex1b78bb1c

460897052 has 48 divisors (see below), whose sum is σ = 1016026368. Its totient is φ = 177707520.

The previous prime is 460897051. The next prime is 460897127. The reversal of 460897052 is 250798064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460897051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22163 + ... + 37589.

It is an arithmetic number, because the mean of its divisors is an integer number (21167216).

Almost surely, 2460897052 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 460897052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508013184).

460897052 is an abundant number, since it is smaller than the sum of its proper divisors (555129316).

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

460897052 is a wasteful number, since it uses less digits than its factorization.

460897052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15546 (or 15544 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 460897052 is about 21468.5130365380. The cubic root of 460897052 is about 772.4457299635.

The spelling of 460897052 in words is "four hundred sixty million, eight hundred ninety-seven thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 97 154 194 308 388 679 1067 1358 2134 2716 4268 7469 14938 15427 29876 30854 61708 107989 169697 215978 339394 431956 678788 1187879 1496419 2375758 2992838 4751516 5985676 10474933 16460609 20949866 32921218 41899732 65842436 115224263 230448526 460897052