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40634946 = 235112691
BaseRepresentation
bin1001101100000…
…0101001000010
32211110110200000
42123000221002
540400304241
64010540430
71002251142
oct233005102
984413600
1040634946
1120a34700
1211737716
138559861
14557a922
153879eb6
hex26c0a42

40634946 has 72 divisors (see below), whose sum is σ = 100503312. Its totient is φ = 12295800.

The previous prime is 40634929. The next prime is 40634959. The reversal of 40634946 is 64943604.

It is a self number, because there is not a number n which added to its sum of digits gives 40634946.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58461 + ... + 59151.

Almost surely, 240634946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40634946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50251656).

40634946 is an abundant number, since it is smaller than the sum of its proper divisors (59868366).

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

40634946 is a wasteful number, since it uses less digits than its factorization.

40634946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 40634946 is about 6374.5545726741. The cubic root of 40634946 is about 343.7952687049.

It can be divided in two parts, 4063 and 4946, that added together give a palindrome (9009).

The spelling of 40634946 in words is "forty million, six hundred thirty-four thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 243 297 363 486 594 691 726 891 1089 1382 1782 2073 2178 2673 3267 4146 5346 6219 6534 7601 9801 12438 15202 18657 19602 22803 29403 37314 45606 55971 58806 68409 83611 111942 136818 167222 167913 205227 250833 335826 410454 501666 615681 752499 1231362 1504998 1847043 2257497 3694086 4514994 6772491 13544982 20317473 40634946