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5406432 = 253199283
BaseRepresentation
bin10100100111111011100000
3101011200020020
4110213323200
52341001212
6311513440
763645123
oct24477340
911150206
105406432
113062a29
121988880
131173a95
14a0a3ba
1571bd8c
hex527ee0

5406432 has 48 divisors (see below), whose sum is σ = 14313600. Its totient is φ = 1786752.

The previous prime is 5406421. The next prime is 5406439. The reversal of 5406432 is 2346045.

5406432 is digitally balanced in base 4, 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5406439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18963 + ... + 19245.

It is an arithmetic number, because the mean of its divisors is an integer number (298200).

Almost surely, 25406432 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 5406432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156800).

5406432 is an abundant number, since it is smaller than the sum of its proper divisors (8907168).

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

5406432 is a wasteful number, since it uses less digits than its factorization.

5406432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 5406432 is about 2325.1735419104. The cubic root of 5406432 is about 175.5106932551.

The spelling of 5406432 in words is "five million, four hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 283 398 566 597 796 849 1132 1194 1592 1698 2264 2388 3184 3396 4528 4776 6368 6792 9056 9552 13584 19104 27168 56317 112634 168951 225268 337902 450536 675804 901072 1351608 1802144 2703216 5406432