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5205438 = 233747293
BaseRepresentation
bin10011110110110110111110
3100210110112000
4103312312332
52313033223
6303323130
762150130
oct23666676
910713460
105205438
112a35a17
1218b04a6
131103454
14997050
156cc543
hex4f6dbe

5205438 has 64 divisors (see below), whose sum is σ = 13547520. Its totient is φ = 1450656.

The previous prime is 5205437. The next prime is 5205461. The reversal of 5205438 is 8345025.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17620 + ... + 17912.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 25205438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760).

5205438 is an abundant number, since it is smaller than the sum of its proper divisors (8342082).

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

5205438 is a wasteful number, since it uses less digits than its factorization.

5205438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

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

The square root of 5205438 is about 2281.5428990050. The cubic root of 5205438 is about 173.3081924418.

The spelling of 5205438 in words is "five million, two hundred five thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 141 189 282 293 329 378 423 586 658 846 879 987 1269 1758 1974 2051 2538 2637 2961 4102 5274 5922 6153 7911 8883 12306 13771 15822 17766 18459 27542 36918 41313 55377 82626 96397 110754 123939 192794 247878 289191 371817 578382 743634 867573 1735146 2602719 5205438