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40495312 = 24112131609
BaseRepresentation
bin1001101001111…
…0100011010000
32211012101010101
42122132203100
540331322222
64003542144
71001130064
oct232364320
984171111
1040495312
1120949800
121168a954
13850b130
145541aa4
15384d927
hex269e8d0

40495312 has 60 divisors (see below), whose sum is σ = 92932420. Its totient is φ = 16980480.

The previous prime is 40495307. The next prime is 40495333. The reversal of 40495312 is 21359404.

It can be written as a sum of positive squares in 2 ways, for example, as 25160256 + 15335056 = 5016^2 + 3916^2 .

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, 24364 + ... + 25972.

Almost surely, 240495312 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 40495312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46466210).

40495312 is an abundant number, since it is smaller than the sum of its proper divisors (52437108).

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

40495312 is a wasteful number, since it uses less digits than its factorization.

40495312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 40495312 is about 6363.5926959541. The cubic root of 40495312 is about 343.4010218340.

The spelling of 40495312 in words is "forty million, four hundred ninety-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 242 286 484 572 968 1144 1573 1609 1936 2288 3146 3218 6292 6436 12584 12872 17699 20917 25168 25744 35398 41834 70796 83668 141592 167336 194689 230087 283184 334672 389378 460174 778756 920348 1557512 1840696 2530957 3115024 3681392 5061914 10123828 20247656 40495312