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40135232 = 261737997
BaseRepresentation
bin1001100100011…
…0101001000000
32210112002012002
42121012221000
540233311412
63552123132
7665100224
oct231065100
983462162
1040135232
1120723215
12115364a8
138413277
14548a784
1537cbdc2
hex2646a40

40135232 has 56 divisors (see below), whose sum is σ = 86694264. Its totient is φ = 18358272.

The previous prime is 40135229. The next prime is 40135247. The reversal of 40135232 is 23253104.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27290176 + 12845056 = 5224^2 + 3584^2 .

It is a super-2 number, since 2×401352322 = 3221673695387648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39758 + ... + 40754.

Almost surely, 240135232 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 40135232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43347132).

40135232 is an abundant number, since it is smaller than the sum of its proper divisors (46559032).

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

40135232 is a wasteful number, since it uses less digits than its factorization.

40135232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 40135232 is about 6335.2373278355. The cubic root of 40135232 is about 342.3801616013.

Adding to 40135232 its reverse (23253104), we get a palindrome (63388336).

The spelling of 40135232 in words is "forty million, one hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 136 148 272 296 544 592 629 997 1088 1184 1258 1994 2368 2516 3988 5032 7976 10064 15952 16949 20128 31904 33898 36889 40256 63808 67796 73778 135592 147556 271184 295112 542368 590224 627113 1084736 1180448 1254226 2360896 2508452 5016904 10033808 20067616 40135232