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40089252 = 22372292351
BaseRepresentation
bin1001100011101…
…1011010100100
32210102202010010
42120323122210
540230324002
63551130220
7664516200
oct230733244
983382103
1040089252
11206a1715
1211513970
1383c8368
145477b00
1537bd46c
hex263b6a4

40089252 has 72 divisors (see below), whose sum is σ = 112613760. Its totient is φ = 11054400.

The previous prime is 40089251. The next prime is 40089263. The reversal of 40089252 is 25298004.

40089252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40089251) 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 23 ways as a sum of consecutive naturals, for example, 15877 + ... + 18227.

It is an arithmetic number, because the mean of its divisors is an integer number (1564080).

Almost surely, 240089252 is an apocalyptic number.

40089252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40089252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56306880).

40089252 is an abundant number, since it is smaller than the sum of its proper divisors (72524508).

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

40089252 is a wasteful number, since it uses less digits than its factorization.

40089252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 40089252 is about 6331.6073788573. The cubic root of 40089252 is about 342.2493650036.

The spelling of 40089252 in words is "forty million, eighty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 1218 1421 2351 2436 2842 4263 4702 5684 7053 8526 9404 14106 16457 17052 28212 32914 49371 65828 68179 98742 115199 136358 197484 204537 230398 272716 345597 409074 460796 477253 691194 818148 954506 1382388 1431759 1909012 2863518 3340771 5727036 6681542 10022313 13363084 20044626 40089252