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31352490 = 232513127211
BaseRepresentation
bin111011110011…
…0011010101010
32011222212112100
41313212122222
531011234430
63035554230
7530330451
oct167463252
964885470
1031352490
1116774654
12a5bb976
136659790
144241b98
152b44960
hex1de66aa

31352490 has 96 divisors (see below), whose sum is σ = 88897536. Its totient is φ = 7620480.

The previous prime is 31352467. The next prime is 31352507. The reversal of 31352490 is 9425313.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148485 + ... + 148695.

It is an arithmetic number, because the mean of its divisors is an integer number (926016).

Almost surely, 231352490 is an apocalyptic number.

31352490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31352490 is the 4572-nd pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31352490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44448768).

31352490 is an abundant number, since it is smaller than the sum of its proper divisors (57545046).

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

31352490 is a wasteful number, since it uses less digits than its factorization.

31352490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 31352490 is about 5599.3294241364. The cubic root of 31352490 is about 315.3242315336.

It can be divided in two parts, 3135 and 2490, that added together give a square (5625 = 752).

The spelling of 31352490 in words is "thirty-one million, three hundred fifty-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 127 130 195 211 234 254 381 390 422 585 633 635 762 1055 1143 1170 1266 1270 1651 1899 1905 2110 2286 2743 3165 3302 3798 3810 4953 5486 5715 6330 8229 8255 9495 9906 11430 13715 14859 16458 16510 18990 24687 24765 26797 27430 29718 41145 49374 49530 53594 74295 80391 82290 123435 133985 148590 160782 241173 246870 267970 348361 401955 482346 696722 803910 1045083 1205865 1741805 2090166 2411730 3135249 3483610 5225415 6270498 10450830 15676245 31352490