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31053152 = 2513174391
BaseRepresentation
bin111011001110…
…1010101100000
32011102122220202
41312131111200
530422200102
63025324332
7524642654
oct166352540
964378822
1031053152
111658a769
12a4966a8
136583460
1441a4a64
152ad5e02
hex1d9d560

31053152 has 48 divisors (see below), whose sum is σ = 69727392. Its totient is φ = 13486080.

The previous prime is 31053137. The next prime is 31053173. The reversal of 31053152 is 25135013.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4877 + ... + 9267.

It is an arithmetic number, because the mean of its divisors is an integer number (1452654).

Almost surely, 231053152 is an apocalyptic number.

31053152 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 31053152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34863696).

31053152 is an abundant number, since it is smaller than the sum of its proper divisors (38674240).

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

31053152 is a wasteful number, since it uses less digits than its factorization.

31053152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431 (or 4423 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 31053152 is about 5572.5355090838. The cubic root of 31053152 is about 314.3175010746.

Adding to 31053152 its reverse (25135013), we get a palindrome (56188165).

The spelling of 31053152 in words is "thirty-one million, fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 4391 7072 8782 17564 35128 57083 70256 74647 114166 140512 149294 228332 298588 456664 597176 913328 970411 1194352 1826656 1940822 2388704 3881644 7763288 15526576 31053152