Search a number
-
+
31481568 = 253383439
BaseRepresentation
bin111100000010…
…1111011100000
32012020102121000
41320011323200
531024402233
63042432000
7531405666
oct170057340
965212530
1031481568
1116852628
12a662600
1366a3461
144276c36
152b6cd13
hex1e05ee0

31481568 has 96 divisors (see below), whose sum is σ = 93139200. Its totient is φ = 10343808.

The previous prime is 31481543. The next prime is 31481591. The reversal of 31481568 is 86518413.

31481568 is a `hidden beast` number, since 3 + 14 + 81 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 71493 + ... + 71931.

It is an arithmetic number, because the mean of its divisors is an integer number (970200).

Almost surely, 231481568 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 31481568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46569600).

31481568 is an abundant number, since it is smaller than the sum of its proper divisors (61657632).

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

31481568 is a wasteful number, since it uses less digits than its factorization.

31481568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 31481568 is about 5610.8437868114. The cubic root of 31481568 is about 315.7563683190.

The spelling of 31481568 in words is "thirty-one million, four hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 439 498 664 747 864 878 996 1317 1328 1494 1756 1992 2241 2634 2656 2988 3512 3951 3984 4482 5268 5976 7024 7902 7968 8964 10536 11853 11952 14048 15804 17928 21072 23706 23904 31608 35856 36437 42144 47412 63216 71712 72874 94824 109311 126432 145748 189648 218622 291496 327933 379296 437244 582992 655866 874488 983799 1165984 1311732 1748976 1967598 2623464 3497952 3935196 5246928 7870392 10493856 15740784 31481568