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5408352 = 253289211
BaseRepresentation
bin10100101000011001100000
3101011202212100
4110220121200
52341031402
6311530400
763653535
oct24503140
911152770
105408352
113064414
121989a00
131174911
14a0ad8c
1571c71c
hex528660

5408352 has 72 divisors (see below), whose sum is σ = 15626520. Its totient is φ = 1774080.

The previous prime is 5408341. The next prime is 5408357. The reversal of 5408352 is 2538045.

5408352 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5408357) 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, 25527 + ... + 25737.

It is an arithmetic number, because the mean of its divisors is an integer number (217035).

Almost surely, 25408352 is an apocalyptic number.

5408352 is the 1899-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5408352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7813260).

5408352 is an abundant number, since it is smaller than the sum of its proper divisors (10218168).

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

5408352 is a wasteful number, since it uses less digits than its factorization.

5408352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5408352 is about 2325.5863776691. The cubic root of 5408352 is about 175.5314673164.

The spelling of 5408352 in words is "five million, four hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 211 267 288 356 422 534 633 712 801 844 1068 1266 1424 1602 1688 1899 2136 2532 2848 3204 3376 3798 4272 5064 6408 6752 7596 8544 10128 12816 15192 18779 20256 25632 30384 37558 56337 60768 75116 112674 150232 169011 225348 300464 338022 450696 600928 676044 901392 1352088 1802784 2704176 5408352