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31402272 = 25311131227
BaseRepresentation
bin111011111001…
…0100100100000
32012002101211010
41313302210200
531014333042
63041020520
7530625546
oct167624440
965071733
1031402272
11167a8aa0
12a624740
136676335
144255d96
152b5459c
hex1df2920

31402272 has 96 divisors (see below), whose sum is σ = 91010304. Its totient is φ = 9401600.

The previous prime is 31402271. The next prime is 31402279. The reversal of 31402272 is 27220413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×314022722 = 1972205373523968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31402271) 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, 138223 + ... + 138449.

It is an arithmetic number, because the mean of its divisors is an integer number (948024).

Almost surely, 231402272 is an apocalyptic number.

31402272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31402272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45505152).

31402272 is an abundant number, since it is smaller than the sum of its proper divisors (59608032).

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

31402272 is a wasteful number, since it uses less digits than its factorization.

31402272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 31402272 is about 5603.7730146750. The cubic root of 31402272 is about 315.4910356160.

Adding to 31402272 its reverse (27220413), we get a palindrome (58622685).

The spelling of 31402272 in words is "thirty-one million, four hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 131 132 176 227 262 264 352 393 454 524 528 681 786 908 1048 1056 1362 1441 1572 1816 2096 2497 2724 2882 3144 3632 4192 4323 4994 5448 5764 6288 7264 7491 8646 9988 10896 11528 12576 14982 17292 19976 21792 23056 29737 29964 34584 39952 46112 59474 59928 69168 79904 89211 118948 119856 138336 178422 237896 239712 327107 356844 475792 654214 713688 951584 981321 1308428 1427376 1962642 2616856 2854752 3925284 5233712 7850568 10467424 15701136 31402272