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5342176 = 25723407
BaseRepresentation
bin10100011000001111100000
3101001102002101
4110120033200
52331422201
6310300144
763256600
oct24301740
911042071
105342176
113019724
121957654
131150768
149d0c00
15707d01
hex5183e0

5342176 has 36 divisors (see below), whose sum is σ = 12238128. Its totient is φ = 2288832.

The previous prime is 5342167. The next prime is 5342179. The reversal of 5342176 is 6712435.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a d-powerful number, because it can be written as 59 + 313 + 48 + 215 + 1 + 75 + 68 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5342179) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 136 + ... + 3271.

It is an arithmetic number, because the mean of its divisors is an integer number (339948).

Almost surely, 25342176 is an apocalyptic number.

5342176 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5342176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119064).

5342176 is an abundant number, since it is smaller than the sum of its proper divisors (6895952).

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

5342176 is a wasteful number, since it uses less digits than its factorization.

5342176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3416 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 5342176 is about 2311.3147773508. The cubic root of 5342176 is about 174.8125993917.

The spelling of 5342176 in words is "five million, three hundred forty-two thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 3407 6814 13628 23849 27256 47698 54512 95396 109024 166943 190792 333886 381584 667772 763168 1335544 2671088 5342176