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31048416 = 2532715401
BaseRepresentation
bin111011001110…
…0001011100000
32011102102102100
41312130023200
530422022131
63025250400
7524623110
oct166341340
964372370
1031048416
1116587153
12a493a00
136581259
1441a3040
152ad47e6
hex1d9c2e0

31048416 has 72 divisors (see below), whose sum is σ = 100913904. Its totient is φ = 8870400.

The previous prime is 31048411. The next prime is 31048429. The reversal of 31048416 is 61484013.

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

It is a super-2 number, since 2×310484162 = 1928008272218112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31048416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31048411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5685 + ... + 9716.

It is an arithmetic number, because the mean of its divisors is an integer number (1401582).

Almost surely, 231048416 is an apocalyptic number.

31048416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31048416 is an abundant number, since it is smaller than the sum of its proper divisors (69865488).

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

31048416 is a wasteful number, since it uses less digits than its factorization.

31048416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15424 (or 15413 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 31048416 is about 5572.1105516671. The cubic root of 31048416 is about 314.3015211255.

The spelling of 31048416 in words is "thirty-one million, forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 15401 30802 46203 61604 92406 107807 123208 138609 184812 215614 246416 277218 323421 369624 431228 492832 554436 646842 739248 862456 970263 1108872 1293684 1478496 1724912 1940526 2217744 2587368 3449824 3881052 4435488 5174736 7762104 10349472 15524208 31048416