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460063452 = 223177928547
BaseRepresentation
bin11011011011000…
…000001011011100
31012001200122102010
4123123000023130
51420234012302
6113352431220
714254321602
oct3333001334
91161618363
10460063452
1121676a532
1210a0a8510
13744113c4
144515b872
152a5ca16c
hex1b6c02dc

460063452 has 48 divisors (see below), whose sum is σ = 1151055360. Its totient is φ = 142501632.

The previous prime is 460063433. The next prime is 460063459. The reversal of 460063452 is 254360064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460063459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1843 + ... + 30389.

It is an arithmetic number, because the mean of its divisors is an integer number (23980320).

Almost surely, 2460063452 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 460063452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575527680).

460063452 is an abundant number, since it is smaller than the sum of its proper divisors (690991908).

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

460063452 is a wasteful number, since it uses less digits than its factorization.

460063452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28650 (or 28648 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 460063452 is about 21449.0897708970. The cubic root of 460063452 is about 771.9797550778.

The spelling of 460063452 in words is "four hundred sixty million, sixty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 79 102 158 204 237 316 474 948 1343 2686 4029 5372 8058 16116 28547 57094 85641 114188 171282 342564 485299 970598 1455897 1941196 2255213 2911794 4510426 5823588 6765639 9020852 13531278 27062556 38338621 76677242 115015863 153354484 230031726 460063452