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5006364 = 22311172397
BaseRepresentation
bin10011000110010000011100
3100102100102220
4103012100130
52240200424
6255145340
760360546
oct23062034
910370386
105006364
11290a3a0
121815250
13106395c
14944696
1568d579
hex4c641c

5006364 has 96 divisors (see below), whose sum is σ = 14224896. Its totient is φ = 1351680.

The previous prime is 5006317. The next prime is 5006369. The reversal of 5006364 is 4636005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51564 + ... + 51660.

It is an arithmetic number, because the mean of its divisors is an integer number (148176).

Almost surely, 25006364 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 5006364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112448).

5006364 is an abundant number, since it is smaller than the sum of its proper divisors (9218532).

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

5006364 is a wasteful number, since it uses less digits than its factorization.

5006364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5006364 is about 2237.4905586393. The cubic root of 5006364 is about 171.0701124890.

The spelling of 5006364 in words is "five million, six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 17 22 23 33 34 44 46 51 66 68 69 92 97 102 132 138 187 194 204 253 276 291 374 388 391 506 561 582 748 759 782 1012 1067 1122 1164 1173 1518 1564 1649 2134 2231 2244 2346 3036 3201 3298 4268 4301 4462 4692 4947 6402 6596 6693 8602 8924 9894 12804 12903 13386 17204 18139 19788 24541 25806 26772 36278 37927 49082 51612 54417 72556 73623 75854 98164 108834 113781 147246 151708 217668 227562 294492 417197 455124 834394 1251591 1668788 2503182 5006364