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40634046 = 232171929241
BaseRepresentation
bin1001101100000…
…0011010111110
32211110102102200
42123000122332
540400242141
64010532330
71002245415
oct233003276
984412380
1040634046
1120a33a62
12117370a6
13855931b
14557a47c
153879ab6
hex26c06be

40634046 has 96 divisors (see below), whose sum is σ = 101930400. Its totient is φ = 11612160.

The previous prime is 40634021. The next prime is 40634053. The reversal of 40634046 is 64043604.

It is a happy number.

40634046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×406340462 = 3302251388660232, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 168486 + ... + 168726.

It is an arithmetic number, because the mean of its divisors is an integer number (1061775).

Almost surely, 240634046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40634046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50965200).

40634046 is an abundant number, since it is smaller than the sum of its proper divisors (61296354).

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

40634046 is a wasteful number, since it uses less digits than its factorization.

40634046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 40634046 is about 6374.4839791155. The cubic root of 40634046 is about 343.7927305118.

The spelling of 40634046 in words is "forty million, six hundred thirty-four thousand, forty-six".

Divisors: 1 2 3 6 9 17 18 19 29 34 38 51 57 58 87 102 114 153 171 174 241 261 306 323 342 482 493 522 551 646 723 969 986 1102 1446 1479 1653 1938 2169 2907 2958 3306 4097 4338 4437 4579 4959 5814 6989 8194 8874 9158 9367 9918 12291 13737 13978 18734 20967 24582 27474 28101 36873 41211 41934 56202 62901 73746 77843 82422 84303 118813 125802 132791 155686 168606 233529 237626 265582 356439 398373 467058 700587 712878 796746 1069317 1195119 1401174 2138634 2257447 2390238 4514894 6772341 13544682 20317023 40634046