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40274820 = 223558287
BaseRepresentation
bin1001100110100…
…0101110000100
32210210011200000
42121220232010
540302243240
63555121300
7666221205
oct231505604
983704600
1040274820
1120809083
12115a3230
138461971
1454c55ac
153808430
hex2668b84

40274820 has 72 divisors (see below), whose sum is σ = 126706944. Its totient is φ = 10738656.

The previous prime is 40274809. The next prime is 40274827. The reversal of 40274820 is 2847204.

It is a super-2 number, since 2×402748202 = 3244122252064800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40274827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 717 + ... + 9003.

Almost surely, 240274820 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 40274820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63353472).

40274820 is an abundant number, since it is smaller than the sum of its proper divisors (86432124).

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

40274820 is a wasteful number, since it uses less digits than its factorization.

40274820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311 (or 8297 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 40274820 is about 6346.2445587922. The cubic root of 40274820 is about 342.7766284154.

The spelling of 40274820 in words is "forty million, two hundred seventy-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 8287 16574 24861 33148 41435 49722 74583 82870 99444 124305 149166 165740 223749 248610 298332 372915 447498 497220 671247 745830 894996 1118745 1342494 1491660 2013741 2237490 2684988 3356235 4027482 4474980 6712470 8054964 10068705 13424940 20137410 40274820