Search a number
-
+
31053828 = 223131910477
BaseRepresentation
bin111011001110…
…1100000000100
32011102200211210
41312131200010
530422210303
63025331420
7524644641
oct166354004
964380753
1031053828
1116590223
12a496b70
136583860
1441a4dc8
152ad6203
hex1d9d804

31053828 has 48 divisors (see below), whose sum is σ = 82147520. Its totient is φ = 9051264.

The previous prime is 31053823. The next prime is 31053829. The reversal of 31053828 is 82835013.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31053795 and 31053804.

It is not an unprimeable number, because it can be changed into a prime (31053821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2275 + ... + 8202.

Almost surely, 231053828 is an apocalyptic number.

31053828 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

31053828 is an abundant number, since it is smaller than the sum of its proper divisors (51093692).

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

31053828 is a wasteful number, since it uses less digits than its factorization.

31053828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10516 (or 10514 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 31053828 is about 5572.5961633695. The cubic root of 31053828 is about 314.3197818639.

The spelling of 31053828 in words is "thirty-one million, fifty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 2964 10477 20954 31431 41908 62862 125724 136201 199063 272402 398126 408603 544804 597189 796252 817206 1194378 1634412 2388756 2587819 5175638 7763457 10351276 15526914 31053828