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40813464 = 23317167599
BaseRepresentation
bin1001101110110…
…0001110011000
32211210112112210
42123230032120
540422012324
64014435120
71003623456
oct233541630
984715483
1040813464
112104683a
1211802aa0
1385bcba3
1455c59d6
1538b2d29
hex26ec398

40813464 has 64 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 12706304.

The previous prime is 40813403. The next prime is 40813471. The reversal of 40813464 is 46431804.

40813464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67837 + ... + 68435.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 240813464 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 40813464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

40813464 is an abundant number, since it is smaller than the sum of its proper divisors (68050536).

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

40813464 is a wasteful number, since it uses less digits than its factorization.

40813464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 40813464 is about 6388.5416176151. The cubic root of 40813464 is about 344.2979885941.

The spelling of 40813464 in words is "forty million, eight hundred thirteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 167 204 334 408 501 599 668 1002 1198 1336 1797 2004 2396 2839 3594 4008 4792 5678 7188 8517 10183 11356 14376 17034 20366 22712 30549 34068 40732 61098 68136 81464 100033 122196 200066 244392 300099 400132 600198 800264 1200396 1700561 2400792 3401122 5101683 6802244 10203366 13604488 20406732 40813464