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5705088 = 27383179
BaseRepresentation
bin10101110000110110000000
3101201211220120
4111300312000
52430030323
6322140240
766330624
oct25606600
911654816
105705088
113247354
121ab1680
1312499bc
14a87184
1577a5e3
hex570d80

5705088 has 64 divisors (see below), whose sum is σ = 15422400. Its totient is φ = 1868288.

The previous prime is 5705071. The next prime is 5705093. The reversal of 5705088 is 8805075.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

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, 31783 + ... + 31961.

It is an arithmetic number, because the mean of its divisors is an integer number (240975).

Almost surely, 25705088 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 5705088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711200).

5705088 is an abundant number, since it is smaller than the sum of its proper divisors (9717312).

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

5705088 is a wasteful number, since it uses less digits than its factorization.

5705088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 5705088 is about 2388.5326039223. The cubic root of 5705088 is about 178.6847336993.

The spelling of 5705088 in words is "five million, seven hundred five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 179 192 249 332 358 384 498 537 664 716 996 1074 1328 1432 1992 2148 2656 2864 3984 4296 5312 5728 7968 8592 10624 11456 14857 15936 17184 22912 29714 31872 34368 44571 59428 68736 89142 118856 178284 237712 356568 475424 713136 950848 1426272 1901696 2852544 5705088