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890383392 = 25323783557
BaseRepresentation
bin110101000100100…
…010110000100000
32022001102011101200
4311010202300200
53310414232032
6224204001200
731031063643
oct6504426040
92261364350
10890383392
11417664248
1220a230200
1311260a4a2
1486375a5a
155327c47c
hex35122c20

890383392 has 72 divisors (see below), whose sum is σ = 2600492076. Its totient is φ = 288769536.

The previous prime is 890383391. The next prime is 890383393. The reversal of 890383392 is 293383098.

It is an interprime number because it is at equal distance from previous prime (890383391) and next prime (890383393).

It can be written as a sum of positive squares in 2 ways, for example, as 606932496 + 283450896 = 24636^2 + 16836^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (890383391) 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, 31123 + ... + 52434.

Almost surely, 2890383392 is an apocalyptic number.

It is an amenable number.

890383392 is an abundant number, since it is smaller than the sum of its proper divisors (1710108684).

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

890383392 is a wasteful number, since it uses less digits than its factorization.

890383392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83610 (or 83599 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 890383392 is about 29839.2927530128. The cubic root of 890383392 is about 962.0382734386.

The spelling of 890383392 in words is "eight hundred ninety million, three hundred eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 83557 167114 250671 334228 501342 668456 752013 1002684 1336912 1504026 2005368 2673824 3008052 3091609 4010736 6016104 6183218 8021472 9274827 12032208 12366436 18549654 24064416 24732872 27824481 37099308 49465744 55648962 74198616 98931488 111297924 148397232 222595848 296794464 445191696 890383392