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5355126 = 233731457
BaseRepresentation
bin10100011011011001110110
3101002001212000
4110123121312
52332331001
6310440130
763342420
oct24333166
911061760
105355126
113028427
121963046
13115661a
149d5810
1570ba86
hex51b676

5355126 has 64 divisors (see below), whose sum is σ = 14069760. Its totient is φ = 1477440.

The previous prime is 5355107. The next prime is 5355139. The reversal of 5355126 is 6215535.

5355126 is a `hidden beast` number, since 535 + 5 + 126 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4500) is a multiple of the sum of its prime divisors (500).

It is a self number, because there is not a number n which added to its sum of digits gives 5355126.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11490 + ... + 11946.

It is an arithmetic number, because the mean of its divisors is an integer number (219840).

Almost surely, 25355126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5355126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034880).

5355126 is an abundant number, since it is smaller than the sum of its proper divisors (8714634).

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

5355126 is a wasteful number, since it uses less digits than its factorization.

5355126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 5355126 is about 2314.1145174775. The cubic root of 5355126 is about 174.9537401536.

The spelling of 5355126 in words is "five million, three hundred fifty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 457 558 651 837 914 1302 1371 1674 1953 2742 3199 3906 4113 5859 6398 8226 9597 11718 12339 14167 19194 24678 28334 28791 42501 57582 85002 86373 99169 127503 172746 198338 255006 297507 382509 595014 765018 892521 1785042 2677563 5355126