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5432416 = 251122361
BaseRepresentation
bin10100101110010001100000
3101012222212121
4110232101200
52342314131
6312234024
764113643
oct24562140
911188777
105432416
113080500
12199b914
131182862
14a15a5a
15724911
hex52e460

5432416 has 72 divisors (see below), whose sum is σ = 12467952. Its totient is φ = 2323200.

The previous prime is 5432411. The next prime is 5432417. The reversal of 5432416 is 6142345.

It is a super-2 number, since 2×54324162 = 59022287194112, which contains 22 as substring.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5432411) 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, 89026 + ... + 89086.

It is an arithmetic number, because the mean of its divisors is an integer number (173166).

Almost surely, 25432416 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 5432416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233976).

5432416 is an abundant number, since it is smaller than the sum of its proper divisors (7035536).

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

5432416 is a wasteful number, since it uses less digits than its factorization.

5432416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 5432416 is about 2330.7543843142. The cubic root of 5432416 is about 175.7914195723.

The spelling of 5432416 in words is "five million, four hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 61 88 92 121 122 176 184 242 244 253 352 368 484 488 506 671 736 968 976 1012 1342 1403 1936 1952 2024 2684 2783 2806 3872 4048 5368 5566 5612 7381 8096 10736 11132 11224 14762 15433 21472 22264 22448 29524 30866 44528 44896 59048 61732 89056 118096 123464 169763 236192 246928 339526 493856 679052 1358104 2716208 5432416