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31249296 = 24321316693
BaseRepresentation
bin111011100110…
…1001110010000
32011210121222100
41313031032100
530444434141
63033440400
7526420551
oct167151620
964717870
1031249296
1116704071
12a570100
136621810
144216328
152b240b6
hex1dcd390

31249296 has 60 divisors (see below), whose sum is σ = 94187548. Its totient is φ = 9614592.

The previous prime is 31249279. The next prime is 31249297. The reversal of 31249296 is 69294213.

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 27878400 = 1836^2 + 5280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31249296.

It is not an unprimeable number, because it can be changed into a prime (31249297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6475 + ... + 10218.

Almost surely, 231249296 is an apocalyptic number.

31249296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31249296 is an abundant number, since it is smaller than the sum of its proper divisors (62938252).

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

31249296 is a wasteful number, since it uses less digits than its factorization.

31249296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16720 (or 16711 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 31249296 is about 5590.1069757206. The cubic root of 31249296 is about 314.9778971642.

The spelling of 31249296 in words is "thirty-one million, two hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 16693 33386 50079 66772 100158 133544 150237 200316 217009 267088 300474 400632 434018 600948 651027 801264 868036 1201896 1302054 1736072 1953081 2403792 2604108 3472144 3906162 5208216 7812324 10416432 15624648 31249296