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31053264 = 24311103571
BaseRepresentation
bin111011001110…
…1010111010000
32011102200001220
41312131113100
530422201024
63025325040
7524643204
oct166352720
964380056
1031053264
111658a860
12a496780
136583518
1441a4b04
152ad5e79
hex1d9d5d0

31053264 has 80 divisors (see below), whose sum is σ = 88518144. Its totient is φ = 9302400.

The previous prime is 31053259. The next prime is 31053311. The reversal of 31053264 is 46235013.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54099 + ... + 54669.

Almost surely, 231053264 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 31053264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44259072).

31053264 is an abundant number, since it is smaller than the sum of its proper divisors (57464880).

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

31053264 is a wasteful number, since it uses less digits than its factorization.

31053264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 31053264 is about 5572.5455583602. The cubic root of 31053264 is about 314.3178789592.

Adding to 31053264 its reverse (46235013), we get a palindrome (77288277).

The spelling of 31053264 in words is "thirty-one million, fifty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 103 132 176 206 264 309 412 528 571 618 824 1133 1142 1236 1648 1713 2266 2284 2472 3399 3426 4532 4568 4944 6281 6798 6852 9064 9136 12562 13596 13704 18128 18843 25124 27192 27408 37686 50248 54384 58813 75372 100496 117626 150744 176439 235252 301488 352878 470504 646943 705756 941008 1293886 1411512 1940829 2587772 2823024 3881658 5175544 7763316 10351088 15526632 31053264