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31989024 = 2532313583
BaseRepresentation
bin111101000000…
…1110100100000
32020012012200200
41322001310200
531142122044
63101345200
7535621314
oct172016440
966165620
1031989024
1117069911
12a868200
136820422
144369b44
152c1d369
hex1e81d20

31989024 has 72 divisors (see below), whose sum is σ = 93929472. Its totient is φ = 10316160.

The previous prime is 31989011. The next prime is 31989031. The reversal of 31989024 is 42098913.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 31989024.

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, 7137 + ... + 10719.

It is an arithmetic number, because the mean of its divisors is an integer number (1304576).

Almost surely, 231989024 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 31989024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46964736).

31989024 is an abundant number, since it is smaller than the sum of its proper divisors (61940448).

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

31989024 is a wasteful number, since it uses less digits than its factorization.

31989024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 31989024 is about 5655.8840157839. The cubic root of 31989024 is about 317.4439076720.

The spelling of 31989024 in words is "thirty-one million, nine hundred eighty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 3583 4464 7166 8928 10749 14332 21498 28664 32247 42996 57328 64494 85992 111073 114656 128988 171984 222146 257976 333219 343968 444292 515952 666438 888584 999657 1031904 1332876 1777168 1999314 2665752 3554336 3998628 5331504 7997256 10663008 15994512 31989024