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40100536 = 2371136337
BaseRepresentation
bin1001100011111…
…0001010111000
32210110022121001
42120332022320
540231204121
63551254344
7664564120
oct230761270
983408531
1040100536
11206aa143
121151a3b4
138400538
14547bc80
1537c1991
hex263e2b8

40100536 has 32 divisors (see below), whose sum is σ = 86703840. Its totient is φ = 17031168.

The previous prime is 40100521. The next prime is 40100539. The reversal of 40100536 is 63500104.

40100536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40100539) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3160 + ... + 9496.

It is an arithmetic number, because the mean of its divisors is an integer number (2709495).

Almost surely, 240100536 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 40100536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43351920).

40100536 is an abundant number, since it is smaller than the sum of its proper divisors (46603304).

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

40100536 is a wasteful number, since it uses less digits than its factorization.

40100536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6463 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 40100536 is about 6332.4984011052. The cubic root of 40100536 is about 342.2814731901.

It can be divided in two parts, 40 and 100536, that added together give a triangular number (100576 = T448).

The spelling of 40100536 in words is "forty million, one hundred thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 113 226 452 791 904 1582 3164 6328 6337 12674 25348 44359 50696 88718 177436 354872 716081 1432162 2864324 5012567 5728648 10025134 20050268 40100536