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5362864 = 2413192359
BaseRepresentation
bin10100011101010010110000
3101002110110121
4110131102300
52333102424
6310540024
763404113
oct24352260
911073417
105362864
113033221
121967614
131159cc0
149d857a
1570dee4
hex51d4b0

5362864 has 80 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 2204928.

The previous prime is 5362859. The next prime is 5362897. The reversal of 5362864 is 4682635.

5362864 = T115 + T116 + ... + T322.

It is a happy number.

It is a d-powerful number, because it can be written as 55 + 314 + 67 + 2 + 83 + 67 + 47 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90867 + ... + 90925.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 25362864 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 5362864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

5362864 is an abundant number, since it is smaller than the sum of its proper divisors (7136336).

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

5362864 is a wasteful number, since it uses less digits than its factorization.

5362864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 5362864 is about 2315.7858277483. The cubic root of 5362864 is about 175.0379672724.

It can be divided in two parts, 5362 and 864, that added together give a palindrome (6226).

The spelling of 5362864 in words is "five million, three hundred sixty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 19 23 26 38 46 52 59 76 92 104 118 152 184 208 236 247 299 304 368 437 472 494 598 767 874 944 988 1121 1196 1357 1534 1748 1976 2242 2392 2714 3068 3496 3952 4484 4784 5428 5681 6136 6992 8968 10856 11362 12272 14573 17641 17936 21712 22724 25783 29146 35282 45448 51566 58292 70564 90896 103132 116584 141128 206264 233168 282256 335179 412528 670358 1340716 2681432 5362864