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46000460 = 22511239091
BaseRepresentation
bin1010111101111…
…0100101001100
310012120001202202
42233132211030
543234003320
64321541032
71065666062
oct257364514
9105501682
1046000460
1123a69910
12134a4778
1396b7b0c
146176032
154089b75
hex2bde94c

46000460 has 48 divisors (see below), whose sum is σ = 109976832. Its totient is φ = 15998400.

The previous prime is 46000459. The next prime is 46000469. The reversal of 46000460 is 6400064.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (46000469) 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, 515 + ... + 9605.

It is an arithmetic number, because the mean of its divisors is an integer number (2291184).

Almost surely, 246000460 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 46000460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54988416).

46000460 is an abundant number, since it is smaller than the sum of its proper divisors (63976372).

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

46000460 is a wasteful number, since it uses less digits than its factorization.

46000460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9134 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 46000460 is about 6782.3638946904. The cubic root of 46000460 is about 358.3059814469.

It can be divided in two parts, 460004 and 60, that added together give a palindrome (460064).

The spelling of 46000460 in words is "forty-six million, four hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 9091 18182 36364 45455 90910 100001 181820 200002 209093 400004 418186 500005 836372 1000010 1045465 2000020 2090930 2300023 4181860 4600046 9200092 11500115 23000230 46000460