Search a number
-
+
31656864 = 2532983137
BaseRepresentation
bin111100011000…
…0101110100000
32012120100001110
41320300232200
531101004424
63050303320
7533036031
oct170605640
965510043
1031656864
11169622a8
12a727b40
136735195
1442c0a88
152ba4c29
hex1e30ba0

31656864 has 96 divisors (see below), whose sum is σ = 87635520. Its totient is φ = 9992192.

The previous prime is 31656853. The next prime is 31656881. The reversal of 31656864 is 46865613.

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

It is a congruent number.

It is an unprimeable number.

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, 231004 + ... + 231140.

It is an arithmetic number, because the mean of its divisors is an integer number (912870).

Almost surely, 231656864 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 31656864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43817760).

31656864 is an abundant number, since it is smaller than the sum of its proper divisors (55978656).

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

31656864 is a wasteful number, since it uses less digits than its factorization.

31656864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 31656864 is about 5626.4432815056. The cubic root of 31656864 is about 316.3413498755.

The spelling of 31656864 in words is "thirty-one million, six hundred fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 83 87 96 116 137 166 174 232 249 274 332 348 411 464 498 548 664 696 822 928 996 1096 1328 1392 1644 1992 2192 2407 2656 2784 3288 3973 3984 4384 4814 6576 7221 7946 7968 9628 11371 11919 13152 14442 15892 19256 22742 23838 28884 31784 34113 38512 45484 47676 57768 63568 68226 77024 90968 95352 115536 127136 136452 181936 190704 231072 272904 329759 363872 381408 545808 659518 989277 1091616 1319036 1978554 2638072 3957108 5276144 7914216 10552288 15828432 31656864