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31444992 = 21232853
BaseRepresentation
bin111011111110…
…1000000000000
32012011120102100
41313331000000
531022214432
63041550400
7531164235
oct167750000
965146370
1031444992
11168280a7
12a645400
13668c907
14426778c
152b6207c
hex1dfd000

31444992 has 78 divisors (see below), whose sum is σ = 90936482. Its totient is φ = 10469376.

The previous prime is 31444939. The next prime is 31444993. The reversal of 31444992 is 29944413.

It can be written as a sum of positive squares in only one way, i.e., 19501056 + 11943936 = 4416^2 + 3456^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31444993) 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 5 ways as a sum of consecutive naturals, for example, 36438 + ... + 37290.

Almost surely, 231444992 is an apocalyptic number.

31444992 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 31444992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45468241).

31444992 is an abundant number, since it is smaller than the sum of its proper divisors (59491490).

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

31444992 is an equidigital number, since it uses as much as digits as its factorization.

31444992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 858 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 31444992 is about 5607.5834367399. The cubic root of 31444992 is about 315.6340366265.

The spelling of 31444992 in words is "thirty-one million, four hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 853 1024 1152 1536 1706 2048 2304 2559 3072 3412 4096 4608 5118 6144 6824 7677 9216 10236 12288 13648 15354 18432 20472 27296 30708 36864 40944 54592 61416 81888 109184 122832 163776 218368 245664 327552 436736 491328 655104 873472 982656 1310208 1746944 1965312 2620416 3493888 3930624 5240832 7861248 10481664 15722496 31444992