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31045248 = 273313691
BaseRepresentation
bin111011001101…
…1011010000000
32011102021002000
41312123122000
530421421443
63025224000
7524610633
oct166333200
964367060
1031045248
1116584833
12a492000
13657c990
1441a1c1a
152ad38d3
hex1d9b680

31045248 has 128 divisors (see below), whose sum is σ = 98817600. Its totient is φ = 9538560.

The previous prime is 31045219. The next prime is 31045249. The reversal of 31045248 is 84254013.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31045249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44583 + ... + 45273.

Almost surely, 231045248 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 31045248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49408800).

31045248 is an abundant number, since it is smaller than the sum of its proper divisors (67772352).

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

31045248 is a wasteful number, since it uses less digits than its factorization.

31045248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 31045248 is about 5571.8262715200. The cubic root of 31045248 is about 314.2908309281.

The spelling of 31045248 in words is "thirty-one million, forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 691 702 832 864 936 1152 1248 1382 1404 1664 1728 1872 2073 2496 2764 2808 3456 3744 4146 4992 5528 5616 6219 7488 8292 8983 11056 11232 12438 14976 16584 17966 18657 22112 22464 24876 26949 33168 35932 37314 44224 44928 49752 53898 66336 71864 74628 80847 88448 99504 107796 132672 143728 149256 161694 199008 215592 242541 265344 287456 298512 323388 398016 431184 485082 574912 597024 646776 796032 862368 970164 1149824 1194048 1293552 1724736 1940328 2388096 2587104 3449472 3880656 5174208 7761312 10348416 15522624 31045248