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5748320 = 25537971
BaseRepresentation
bin10101111011011001100000
3101211001012202
4111323121200
52432421240
6323112332
766600644
oct25733140
911731182
105748320
113276886
121b126a8
131263596
14a98c24
15788315
hex57b660

5748320 has 48 divisors (see below), whose sum is σ = 13961808. Its totient is φ = 2234880.

The previous prime is 5748313. The next prime is 5748341. The reversal of 5748320 is 238475.

5748320 = T151 + T152 + ... + T335.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5435 + ... + 6405.

It is an arithmetic number, because the mean of its divisors is an integer number (290871).

Almost surely, 25748320 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 5748320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6980904).

5748320 is an abundant number, since it is smaller than the sum of its proper divisors (8213488).

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

5748320 is a wasteful number, since it uses less digits than its factorization.

5748320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 5748320 is about 2397.5654318496. The cubic root of 5748320 is about 179.1349439660.

The spelling of 5748320 in words is "five million, seven hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 971 1184 1480 1942 2960 3884 4855 5920 7768 9710 15536 19420 31072 35927 38840 71854 77680 143708 155360 179635 287416 359270 574832 718540 1149664 1437080 2874160 5748320