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5408736 = 253103547
BaseRepresentation
bin10100101000011111100000
3101011210101120
4110220133200
52341034421
6311532240
763654624
oct24503740
911153346
105408736
113064733
12198a080
131174b48
14a0b184
1571c8c6
hex5287e0

5408736 has 48 divisors (see below), whose sum is σ = 14361984. Its totient is φ = 1782144.

The previous prime is 5408719. The next prime is 5408773. The reversal of 5408736 is 6378045.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 5408697 and 5408706.

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, 9615 + ... + 10161.

It is an arithmetic number, because the mean of its divisors is an integer number (299208).

Almost surely, 25408736 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 5408736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180992).

5408736 is an abundant number, since it is smaller than the sum of its proper divisors (8953248).

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

5408736 is a wasteful number, since it uses less digits than its factorization.

5408736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5408736 is about 2325.6689360268. The cubic root of 5408736 is about 175.5356215386.

The spelling of 5408736 in words is "five million, four hundred eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 547 618 824 1094 1236 1641 1648 2188 2472 3282 3296 4376 4944 6564 8752 9888 13128 17504 26256 52512 56341 112682 169023 225364 338046 450728 676092 901456 1352184 1802912 2704368 5408736