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40064046 = 23111943743
BaseRepresentation
bin1001100011010…
…1010000101110
32210101110112120
42120311100232
540224022141
63550413410
7664352541
oct230652056
983343476
1040064046
1120684790
1211501266
1383b9a49
14546c858
1537b5c66
hex263542e

40064046 has 64 divisors (see below), whose sum is σ = 94279680. Its totient is φ = 11219040.

The previous prime is 40064033. The next prime is 40064077. The reversal of 40064046 is 64046004.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53551 + ... + 54293.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 240064046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40064046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47139840).

40064046 is an abundant number, since it is smaller than the sum of its proper divisors (54215634).

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

40064046 is a wasteful number, since it uses less digits than its factorization.

40064046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 40064046 is about 6329.6165760653. The cubic root of 40064046 is about 342.1776205359.

It can be divided in two parts, 400 and 64046, that added together give a palindrome (64446).

The spelling of 40064046 in words is "forty million, sixty-four thousand, forty-six", and thus it is an eban number.

Divisors: 1 2 3 6 11 19 22 33 38 43 57 66 86 114 129 209 258 418 473 627 743 817 946 1254 1419 1486 1634 2229 2451 2838 4458 4902 8173 8987 14117 16346 17974 24519 26961 28234 31949 42351 49038 53922 63898 84702 95847 155287 191694 310574 351439 465861 607031 702878 931722 1054317 1214062 1821093 2108634 3642186 6677341 13354682 20032023 40064046