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31413816 = 23327157397
BaseRepresentation
bin111011111010…
…1011000111000
32012002222122200
41313311120320
531020220231
63041150200
7531004320
oct167653070
965088580
1031413816
1116806735
12a62b360
13667b675
14425a280
152b57be6
hex1df5638

31413816 has 96 divisors (see below), whose sum is σ = 98099040. Its totient is φ = 8895744.

The previous prime is 31413803. The next prime is 31413853. The reversal of 31413816 is 61831413.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31413816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78930 + ... + 79326.

It is an arithmetic number, because the mean of its divisors is an integer number (1021865).

Almost surely, 231413816 is an apocalyptic number.

31413816 is a gapful number since it is divisible by the number (36) 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 31413816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49049520).

31413816 is an abundant number, since it is smaller than the sum of its proper divisors (66685224).

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

31413816 is a wasteful number, since it uses less digits than its factorization.

31413816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 566 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 31413816 is about 5604.8029403361. The cubic root of 31413816 is about 315.5296908055.

The spelling of 31413816 in words is "thirty-one million, four hundred thirteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 157 168 252 314 397 471 504 628 794 942 1099 1191 1256 1413 1588 1884 2198 2382 2779 2826 3176 3297 3573 3768 4396 4764 5558 5652 6594 7146 8337 8792 9528 9891 11116 11304 13188 14292 16674 19782 22232 25011 26376 28584 33348 39564 50022 62329 66696 79128 100044 124658 186987 200088 249316 373974 436303 498632 560961 747948 872606 1121922 1308909 1495896 1745212 2243844 2617818 3490424 3926727 4487688 5235636 7853454 10471272 15706908 31413816