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5900472 = 233359463
BaseRepresentation
bin10110100000100010111000
3102002202221000
4112200202320
53002303342
6330245000
7101103354
oct26404270
912082830
105900472
113370126
121b86760
1312b7906
14ad8464
157b844c
hex5a08b8

5900472 has 64 divisors (see below), whose sum is σ = 16704000. Its totient is φ = 1929312.

The previous prime is 5900467. The next prime is 5900473. The reversal of 5900472 is 2740095.

5900472 is a `hidden beast` number, since 590 + 0 + 4 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5900473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12513 + ... + 12975.

It is an arithmetic number, because the mean of its divisors is an integer number (261000).

Almost surely, 25900472 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 5900472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8352000).

5900472 is an abundant number, since it is smaller than the sum of its proper divisors (10803528).

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

5900472 is a wasteful number, since it uses less digits than its factorization.

5900472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5900472 is about 2429.0887180175. The cubic root of 5900472 is about 180.7017053873.

The spelling of 5900472 in words is "five million, nine hundred thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 463 472 531 708 926 1062 1389 1416 1593 1852 2124 2778 3186 3704 4167 4248 5556 6372 8334 11112 12501 12744 16668 25002 27317 33336 50004 54634 81951 100008 109268 163902 218536 245853 327804 491706 655608 737559 983412 1475118 1966824 2950236 5900472