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5798144 = 28112971
BaseRepresentation
bin10110000111100100000000
3101220120120002
4112013210000
52441020034
6324135132
7100166132
oct26074400
911816502
105798144
113300260
121b374a8
131280171
14aad052
15797e7e
hex587900

5798144 has 72 divisors (see below), whose sum is σ = 13245120. Its totient is φ = 2508800.

The previous prime is 5798141. The next prime is 5798153. The reversal of 5798144 is 4418975.

It is a junction number, because it is equal to n+sod(n) for n = 5798098 and 5798107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5798141) 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, 81629 + ... + 81699.

It is an arithmetic number, because the mean of its divisors is an integer number (183960).

Almost surely, 25798144 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 5798144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6622560).

5798144 is an abundant number, since it is smaller than the sum of its proper divisors (7446976).

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

5798144 is a wasteful number, since it uses less digits than its factorization.

5798144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 5798144 is about 2407.9335539005. The cubic root of 5798144 is about 179.6510110507.

The spelling of 5798144 in words is "five million, seven hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 71 88 116 128 142 176 232 256 284 319 352 464 568 638 704 781 928 1136 1276 1408 1562 1856 2059 2272 2552 2816 3124 3712 4118 4544 5104 6248 7424 8236 9088 10208 12496 16472 18176 20416 22649 24992 32944 40832 45298 49984 65888 81664 90596 99968 131776 181192 199936 263552 362384 527104 724768 1449536 2899072 5798144