Search a number
-
+
40538694 = 2372983401
BaseRepresentation
bin1001101010100…
…1001001000110
32211021120122010
42122221021012
540334214234
64004515050
71001400420
oct232511106
984246563
1040538694
1120979359
12116aba86
138524ac1
145553810
15385b6e9
hex26a9246

40538694 has 64 divisors (see below), whose sum is σ = 97251840. Its totient is φ = 11020800.

The previous prime is 40538683. The next prime is 40538737. The reversal of 40538694 is 49683504.

40538694 = 31822 + 31832 + ... + 31852.

It is a super-2 number, since 2×405386942 = 3286771422451272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 100894 + ... + 101294.

It is an arithmetic number, because the mean of its divisors is an integer number (1519560).

Almost surely, 240538694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40538694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48625920).

40538694 is an abundant number, since it is smaller than the sum of its proper divisors (56713146).

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

40538694 is a wasteful number, since it uses less digits than its factorization.

40538694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525.

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 40538694 is about 6367.0003926496. Note that the first 3 decimals coincide. The cubic root of 40538694 is about 343.5236048012.

The spelling of 40538694 in words is "forty million, five hundred thirty-eight thousand, six hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 29 42 58 83 87 166 174 203 249 401 406 498 581 609 802 1162 1203 1218 1743 2406 2407 2807 3486 4814 5614 7221 8421 11629 14442 16842 16849 23258 33283 33698 34887 50547 66566 69774 81403 99849 101094 162806 199698 232981 244209 465962 488418 698943 965207 1397886 1930414 2895621 5791242 6756449 13512898 20269347 40538694