Search a number
-
+
31193792 = 267529
BaseRepresentation
bin111011011111…
…1101011000000
32011200210211122
41312333223000
530441200132
63032331412
7526100000
oct166775300
964623748
1031193792
11166763a3
12a543b68
136602486
144200000
152b12912
hex1dbfac0

31193792 has 84 divisors (see below), whose sum is σ = 74706480. Its totient is φ = 12907776.

The previous prime is 31193777. The next prime is 31193797. The reversal of 31193792 is 29739113.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (31193797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1075634 + ... + 1075662.

Almost surely, 231193792 is an apocalyptic number.

31193792 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 31193792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37353240).

31193792 is an abundant number, since it is smaller than the sum of its proper divisors (43512688).

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

31193792 is an frugal number, since it uses more digits than its factorization.

31193792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 38 counting only the distinct ones).

The product of its digits is 10206, while the sum is 35.

The square root of 31193792 is about 5585.1402847198. The cubic root of 31193792 is about 314.7913020905.

The spelling of 31193792 in words is "thirty-one million, one hundred ninety-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 196 203 224 232 343 392 406 448 464 686 784 812 928 1372 1421 1568 1624 1856 2401 2744 2842 3136 3248 4802 5488 5684 6496 9604 9947 10976 11368 12992 16807 19208 19894 21952 22736 33614 38416 39788 45472 67228 69629 76832 79576 90944 134456 139258 153664 159152 268912 278516 318304 487403 537824 557032 636608 974806 1075648 1114064 1949612 2228128 3899224 4456256 7798448 15596896 31193792