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31945040 = 2451783283
BaseRepresentation
bin111100111011…
…1000101010000
32020002222100122
41321313011100
531134220130
63100405412
7535346141
oct171670520
966088318
1031945040
1117039866
12a846868
1368063ba
144357ac8
152c102e5
hex1e77150

31945040 has 80 divisors (see below), whose sum is σ = 79869888. Its totient is φ = 11839488.

The previous prime is 31945031. The next prime is 31945051. The reversal of 31945040 is 4054913.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 112739 + ... + 113021.

Almost surely, 231945040 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 31945040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39934944).

31945040 is an abundant number, since it is smaller than the sum of its proper divisors (47924848).

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

31945040 is a wasteful number, since it uses less digits than its factorization.

31945040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 31945040 is about 5651.9943382845. The cubic root of 31945040 is about 317.2983488177.

Adding to 31945040 its reverse (4054913), we get a palindrome (35999953).

The spelling of 31945040 in words is "thirty-one million, nine hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 83 85 136 166 170 272 283 332 340 415 566 664 680 830 1132 1328 1360 1411 1415 1660 2264 2822 2830 3320 4528 4811 5644 5660 6640 7055 9622 11288 11320 14110 19244 22576 22640 23489 24055 28220 38488 46978 48110 56440 76976 93956 96220 112880 117445 187912 192440 234890 375824 384880 399313 469780 798626 939560 1597252 1879120 1996565 3194504 3993130 6389008 7986260 15972520 31945040