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3990456 = 2332192917
BaseRepresentation
bin1111001110001110111000
321111201212200
433032032320
52010143311
6221310200
745626661
oct17161670
97451780
103990456
1122860a8
121405360
13a99422
1475c368
1553c556
hex3ce3b8

3990456 has 48 divisors (see below), whose sum is σ = 11380200. Its totient is φ = 1259712.

The previous prime is 3990451. The next prime is 3990463. The reversal of 3990456 is 6540993.

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

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 3990456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3990451) 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 11 ways as a sum of consecutive naturals, for example, 91 + ... + 2826.

Almost surely, 23990456 is an apocalyptic number.

3990456 is a gapful number since it is divisible by the number (36) 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 3990456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690100).

3990456 is an abundant number, since it is smaller than the sum of its proper divisors (7389744).

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

3990456 is a wasteful number, since it uses less digits than its factorization.

3990456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3990456 is about 1997.6125750505. The cubic root of 3990456 is about 158.6137533546.

The spelling of 3990456 in words is "three million, nine hundred ninety thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 2917 5834 8751 11668 17502 23336 26253 35004 52506 55423 70008 105012 110846 166269 210024 221692 332538 443384 498807 665076 997614 1330152 1995228 3990456