Search a number
-
+
31868352 = 263261907
BaseRepresentation
bin111100110010…
…0010111000000
32012222002011100
41321210113000
531124241402
63055014400
7534606435
oct171442700
965862140
1031868352
1116a9718a
12a80a400
1367aa519
144337b8c
152be771c
hex1e645c0

31868352 has 84 divisors (see below), whose sum is σ = 92944696. Its totient is φ = 10437120.

The previous prime is 31868351. The next prime is 31868371. The reversal of 31868352 is 25386813.

31868352 is nontrivially palindromic in base 7.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31868351) 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 11 ways as a sum of consecutive naturals, for example, 34683 + ... + 35589.

Almost surely, 231868352 is an apocalyptic number.

31868352 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 31868352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46472348).

31868352 is an abundant number, since it is smaller than the sum of its proper divisors (61076344).

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

31868352 is a wasteful number, since it uses less digits than its factorization.

31868352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 973 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 31868352 is about 5645.2061078405. The cubic root of 31868352 is about 317.0442407911.

The spelling of 31868352 in words is "thirty-one million, eight hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 907 976 1098 1464 1814 1952 2196 2721 2928 3628 3904 4392 5442 5856 7256 8163 8784 10884 11712 14512 16326 17568 21768 29024 32652 35136 43536 55327 58048 65304 87072 110654 130608 165981 174144 221308 261216 331962 442616 497943 522432 663924 885232 995886 1327848 1770464 1991772 2655696 3540928 3983544 5311392 7967088 10622784 15934176 31868352