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40294820 = 2251925581
BaseRepresentation
bin1001100110110…
…1100110100100
32210211012002202
42121231212210
540303413240
63555354032
7666333416
oct231554644
983735082
1040294820
1120822105
12115b2918
13846aab7
1454cc9b6
15380e315
hex266d9a4

40294820 has 36 divisors (see below), whose sum is σ = 89323164. Its totient is φ = 15266880.

The previous prime is 40294799. The next prime is 40294847. The reversal of 40294820 is 2849204.

40294820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13586596 + 26708224 = 3686^2 + 5168^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4430 + ... + 10010.

It is an arithmetic number, because the mean of its divisors is an integer number (2481199).

Almost surely, 240294820 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 40294820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44661582).

40294820 is an abundant number, since it is smaller than the sum of its proper divisors (49028344).

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

40294820 is a wasteful number, since it uses less digits than its factorization.

40294820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5607 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 40294820 is about 6347.8200982700. The cubic root of 40294820 is about 342.8333586345.

It can be divided in two parts, 40294 and 820, that added together give a palindrome (41114).

The spelling of 40294820 in words is "forty million, two hundred ninety-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 5581 7220 11162 22324 27905 55810 106039 111620 212078 424156 530195 1060390 2014741 2120780 4029482 8058964 10073705 20147410 40294820