Search a number
-
+
460001088 = 2632798613
BaseRepresentation
bin11011011010110…
…000111101000000
31012001120110212100
4123122300331000
51420230013323
6113351230400
714253642021
oct3332607500
91161513770
10460001088
11216727698
1210a078400
13743bbbc1
1445142c48
152a5b6943
hex1b6b0f40

460001088 has 42 divisors (see below), whose sum is σ = 1318511714. Its totient is φ = 153333504.

The previous prime is 460001083. The next prime is 460001089. The reversal of 460001088 is 880100064.

It can be written as a sum of positive squares in only one way, i.e., 283855104 + 176145984 = 16848^2 + 13272^2 .

It is a super-2 number, since 2×4600010882 = 423202001922367488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460001083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 398731 + ... + 399882.

Almost surely, 2460001088 is an apocalyptic number.

460001088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

460001088 is an abundant number, since it is smaller than the sum of its proper divisors (858510626).

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

460001088 is a wasteful number, since it uses less digits than its factorization.

460001088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798631 (or 798618 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 460001088 is about 21447.6359536430. The cubic root of 460001088 is about 771.9448715410.

The spelling of 460001088 in words is "four hundred sixty million, one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 798613 1597226 2395839 3194452 4791678 6388904 7187517 9583356 12777808 14375034 19166712 25555616 28750068 38333424 51111232 57500136 76666848 115000272 153333696 230000544 460001088