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31894416 = 2432221489
BaseRepresentation
bin111100110101…
…0101110010000
32020000101220200
41321222232100
531131110131
63055335200
7535045431
oct171525620
966011820
1031894416
1117004824
12a821500
1367b9348
144343488
152c002e6
hex1e6ab90

31894416 has 30 divisors (see below), whose sum is σ = 89260470. Its totient is φ = 10631424.

The previous prime is 31894409. The next prime is 31894417. The reversal of 31894416 is 61449813.

It can be written as a sum of positive squares in only one way, i.e., 27878400 + 4016016 = 5280^2 + 2004^2 .

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 (31894417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110601 + ... + 110888.

It is an arithmetic number, because the mean of its divisors is an integer number (2975349).

Almost surely, 231894416 is an apocalyptic number.

31894416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31894416 is an abundant number, since it is smaller than the sum of its proper divisors (57366054).

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

31894416 is a wasteful number, since it uses less digits than its factorization.

31894416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221503 (or 221494 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 31894416 is about 5647.5141434086. The cubic root of 31894416 is about 317.1306503354.

The spelling of 31894416 in words is "thirty-one million, eight hundred ninety-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 221489 442978 664467 885956 1328934 1771912 1993401 2657868 3543824 3986802 5315736 7973604 10631472 15947208 31894416