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5258240 = 21051379
BaseRepresentation
bin10100000011110000000000
3100220010221122
4110003300000
52321230430
6304411412
762460101
oct24036000
910803848
105258240
112a71659
121916b68
1311214b0
149ac3a8
156dcee5
hex503c00

5258240 has 88 divisors (see below), whose sum is σ = 13755840. Its totient is φ = 1916928.

The previous prime is 5258233. The next prime is 5258249. The reversal of 5258240 is 428525.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66521 + ... + 66599.

Almost surely, 25258240 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 5258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877920).

5258240 is an abundant number, since it is smaller than the sum of its proper divisors (8497600).

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

5258240 is a wasteful number, since it uses less digits than its factorization.

5258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 5258240 is about 2293.0852579004. The cubic root of 5258240 is about 173.8922131573.

The spelling of 5258240 in words is "five million, two hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 79 80 104 128 130 158 160 208 256 260 316 320 395 416 512 520 632 640 790 832 1024 1027 1040 1264 1280 1580 1664 2054 2080 2528 2560 3160 3328 4108 4160 5056 5120 5135 6320 6656 8216 8320 10112 10270 12640 13312 16432 16640 20224 20540 25280 32864 33280 40448 41080 50560 65728 66560 80896 82160 101120 131456 164320 202240 262912 328640 404480 525824 657280 1051648 1314560 2629120 5258240