Search a number
-
+
40412632 = 2313271421
BaseRepresentation
bin1001101000101…
…0010111011000
32211001011201011
42122022113120
540321201012
64002103304
71000334041
oct232122730
984034634
1040412632
11208a2677
121164ab34
1384ac600
14551d8c8
1538341a7
hex268a5d8

40412632 has 48 divisors (see below), whose sum is σ = 83404080. Its totient is φ = 18345600.

The previous prime is 40412609. The next prime is 40412681. The reversal of 40412632 is 23621404.

It is a happy number.

It is a super-3 number, since 3×404126323 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95782 + ... + 96202.

It is an arithmetic number, because the mean of its divisors is an integer number (1737585).

Almost surely, 240412632 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 40412632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41702040).

40412632 is an abundant number, since it is smaller than the sum of its proper divisors (42991448).

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

40412632 is a wasteful number, since it uses less digits than its factorization.

40412632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 40412632 is about 6357.0930463538. The cubic root of 40412632 is about 343.1671532690.

The spelling of 40412632 in words is "forty million, four hundred twelve thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 71 104 142 169 284 338 421 568 676 842 923 1352 1684 1846 3368 3692 5473 7384 10946 11999 21892 23998 29891 43784 47996 59782 71149 95992 119564 142298 239128 284596 388583 569192 777166 1554332 3108664 5051579 10103158 20206316 40412632