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5802072 = 233232457
BaseRepresentation
bin10110001000100001011000
3101220202221120
4112020201120
52441131242
6324205240
7100213443
oct26104130
911822846
105802072
113303201
121b39820
131281ba3
14ab065a
157991ec
hex588858

5802072 has 48 divisors (see below), whose sum is σ = 15196440. Its totient is φ = 1845888.

The previous prime is 5802047. The next prime is 5802073. The reversal of 5802072 is 2702085.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5802073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12468 + ... + 12924.

Almost surely, 25802072 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 5802072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7598220).

5802072 is an abundant number, since it is smaller than the sum of its proper divisors (9394368).

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

5802072 is a wasteful number, since it uses less digits than its factorization.

5802072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 5802072 is about 2408.7490529318. The cubic root of 5802072 is about 179.6915705745.

The spelling of 5802072 in words is "five million, eight hundred two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 457 529 552 914 1058 1371 1587 1828 2116 2742 3174 3656 4232 5484 6348 10511 10968 12696 21022 31533 42044 63066 84088 126132 241753 252264 483506 725259 967012 1450518 1934024 2901036 5802072