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40212882 = 233412443
BaseRepresentation
bin1001100101100…
…1100110010010
32210200000201000
42121121212102
540243303012
63553522430
7665542503
oct231314622
983600630
1040212882
1120776596
1211573416
13843c708
1454aabaa
1537e4ddc
hex2659992

40212882 has 48 divisors (see below), whose sum is σ = 91801440. Its totient is φ = 13047840.

The previous prime is 40212863. The next prime is 40212883. The reversal of 40212882 is 28821204.

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 (40212883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90553 + ... + 90995.

It is an arithmetic number, because the mean of its divisors is an integer number (1912530).

Almost surely, 240212882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40212882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45900720).

40212882 is an abundant number, since it is smaller than the sum of its proper divisors (51588558).

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

40212882 is a wasteful number, since it uses less digits than its factorization.

40212882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 40212882 is about 6341.3627872879. The cubic root of 40212882 is about 342.6008213671.

It can be divided in two parts, 4021 and 2882, that added together give a triangular number (6903 = T117).

The spelling of 40212882 in words is "forty million, two hundred twelve thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 443 738 886 1107 1329 1681 2214 2658 3362 3987 5043 7974 10086 11961 15129 18163 23922 30258 36326 45387 54489 90774 108978 163467 326934 490401 744683 980802 1489366 2234049 4468098 6702147 13404294 20106441 40212882