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5890368 = 263112789
BaseRepresentation
bin10110011110000101000000
3102002021001210
4112132011000
53001442433
6330130120
7101032041
oct26360500
912067053
105890368
113363580
121b80940
1312b3133
14ad48c8
157b5463
hex59e140

5890368 has 56 divisors (see below), whose sum is σ = 17007840. Its totient is φ = 1784320.

The previous prime is 5890349. The next prime is 5890397. The reversal of 5890368 is 8630985.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 718 + ... + 3506.

Almost surely, 25890368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5890368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503920).

5890368 is an abundant number, since it is smaller than the sum of its proper divisors (11117472).

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

5890368 is a wasteful number, since it uses less digits than its factorization.

5890368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 5890368 is about 2427.0080345973. The cubic root of 5890368 is about 180.5985015984.

Subtracting from 5890368 its sum of digits (39), we obtain a square (5890329 = 24272).

The spelling of 5890368 in words is "five million, eight hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 2789 5578 8367 11156 16734 22312 30679 33468 44624 61358 66936 89248 92037 122716 133872 178496 184074 245432 267744 368148 490864 535488 736296 981728 1472592 1963456 2945184 5890368