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290248416 = 25321007807
BaseRepresentation
bin10001010011001…
…101011011100000
3202020011010222100
4101103031123200
51043300422131
644445010400
710123033203
oct2123153340
9666133870
10290248416
11139923a27
1281253a00
1348195333
142a79593a
151a7347e6
hex114cd6e0

290248416 has 36 divisors (see below), whose sum is σ = 825394752. Its totient is φ = 96749376.

The previous prime is 290248411. The next prime is 290248459. The reversal of 290248416 is 614842092.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290248411) 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, 503616 + ... + 504191.

It is an arithmetic number, because the mean of its divisors is an integer number (22927632).

Almost surely, 2290248416 is an apocalyptic number.

It is an amenable number.

290248416 is an abundant number, since it is smaller than the sum of its proper divisors (535146336).

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

290248416 is a wasteful number, since it uses less digits than its factorization.

290248416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007823 (or 1007812 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 290248416 is about 17036.6785495295. The cubic root of 290248416 is about 662.0995399225.

The spelling of 290248416 in words is "two hundred ninety million, two hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1007807 2015614 3023421 4031228 6046842 8062456 9070263 12093684 16124912 18140526 24187368 32249824 36281052 48374736 72562104 96749472 145124208 290248416