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31287440 = 2451133461
BaseRepresentation
bin111011101011…
…0100010010000
32011212120022002
41313112202100
531002144230
63034333132
7526640012
oct167264220
964776262
1031287440
111672a798
12a58a1a8
136635ca2
1442261b2
152b30545
hex1dd6890

31287440 has 40 divisors (see below), whose sum is σ = 73408248. Its totient is φ = 12400640.

The previous prime is 31287439. The next prime is 31287481. The reversal of 31287440 is 4478213.

It can be written as a sum of positive squares in 4 ways, for example, as 861184 + 30426256 = 928^2 + 5516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7310 + ... + 10770.

Almost surely, 231287440 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 31287440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36704124).

31287440 is an abundant number, since it is smaller than the sum of its proper divisors (42120808).

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

31287440 is a wasteful number, since it uses less digits than its factorization.

31287440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 31287440 is about 5593.5176767397. The cubic root of 31287440 is about 315.1060027890.

The spelling of 31287440 in words is "thirty-one million, two hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 3461 4520 6922 9040 13844 17305 27688 34610 55376 69220 138440 276880 391093 782186 1564372 1955465 3128744 3910930 6257488 7821860 15643720 31287440