Search a number
-
+
40393632 = 2531753467
BaseRepresentation
bin1001101000010…
…1101110100000
32211000012122110
42122011232200
540320044012
64001435320
71000224456
oct232055640
984005573
1040393632
112088a374
121163bb40
1384a3a76
1455169d6
15382d73c
hex2685ba0

40393632 has 96 divisors (see below), whose sum is σ = 114633792. Its totient is φ = 12406784.

The previous prime is 40393631. The next prime is 40393643. The reversal of 40393632 is 23639304.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 40393632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40393631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86263 + ... + 86729.

It is an arithmetic number, because the mean of its divisors is an integer number (1194102).

Almost surely, 240393632 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 40393632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57316896).

40393632 is an abundant number, since it is smaller than the sum of its proper divisors (74240160).

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

40393632 is a wasteful number, since it uses less digits than its factorization.

40393632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 40393632 is about 6355.5984769335. The cubic root of 40393632 is about 343.1133648232.

The spelling of 40393632 in words is "forty million, three hundred ninety-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 68 96 102 106 136 159 204 212 272 318 408 424 467 544 636 816 848 901 934 1272 1401 1632 1696 1802 1868 2544 2703 2802 3604 3736 5088 5406 5604 7208 7472 7939 10812 11208 14416 14944 15878 21624 22416 23817 24751 28832 31756 43248 44832 47634 49502 63512 74253 86496 95268 99004 127024 148506 190536 198008 254048 297012 381072 396016 420767 594024 762144 792032 841534 1188048 1262301 1683068 2376096 2524602 3366136 5049204 6732272 10098408 13464544 20196816 40393632