Search a number
-
+
31074888 = 23313137727
BaseRepresentation
bin111011010001…
…0101001001000
32011110202201210
41312202221020
530423344023
63030013120
7525063225
oct166425110
964422653
1031074888
11165a5029
12a4a71a0
136590310
1441ac94c
152adc593
hex1da2a48

31074888 has 64 divisors (see below), whose sum is σ = 84389760. Its totient is φ = 9478656.

The previous prime is 31074881. The next prime is 31074889. The reversal of 31074888 is 88847013.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (31074881) 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, 42381 + ... + 43107.

It is an arithmetic number, because the mean of its divisors is an integer number (1318590).

Almost surely, 231074888 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 31074888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42194880).

31074888 is an abundant number, since it is smaller than the sum of its proper divisors (53314872).

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

31074888 is a wasteful number, since it uses less digits than its factorization.

31074888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 31074888 is about 5574.4854471063. The cubic root of 31074888 is about 314.3908206502.

The spelling of 31074888 in words is "thirty-one million, seventy-four thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 137 156 274 312 411 548 727 822 1096 1454 1644 1781 2181 2908 3288 3562 4362 5343 5816 7124 8724 9451 10686 14248 17448 18902 21372 28353 37804 42744 56706 75608 99599 113412 199198 226824 298797 398396 597594 796792 1195188 1294787 2390376 2589574 3884361 5179148 7768722 10358296 15537444 31074888