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5345088 = 26374197
BaseRepresentation
bin10100011000111101000000
3101001120002020
4110120331000
52332020323
6310321440
763301230
oct24307500
911046066
105345088
113020931
121959280
131151b98
149d1cc0
15708ae3
hex518f40

5345088 has 112 divisors (see below), whose sum is σ = 16727424. Its totient is φ = 1474560.

The previous prime is 5345083. The next prime is 5345107. The reversal of 5345088 is 8805435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (5345083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55056 + ... + 55152.

It is an arithmetic number, because the mean of its divisors is an integer number (149352).

Almost surely, 25345088 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 5345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8363712).

5345088 is an abundant number, since it is smaller than the sum of its proper divisors (11382336).

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

5345088 is a wasteful number, since it uses less digits than its factorization.

5345088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 5345088 is about 2311.9446360153. The cubic root of 5345088 is about 174.8443568518.

The spelling of 5345088 in words is "five million, three hundred forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 97 112 123 164 168 192 194 224 246 287 291 328 336 388 448 492 574 582 656 672 679 776 861 984 1148 1164 1312 1344 1358 1552 1722 1968 2037 2296 2328 2624 2716 3104 3444 3936 3977 4074 4592 4656 5432 6208 6888 7872 7954 8148 9184 9312 10864 11931 13776 15908 16296 18368 18624 21728 23862 27552 27839 31816 32592 43456 47724 55104 55678 63632 65184 83517 95448 111356 127264 130368 167034 190896 222712 254528 334068 381792 445424 668136 763584 890848 1336272 1781696 2672544 5345088