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5146456 = 237293169
BaseRepresentation
bin10011101000011101011000
3100200110121111
4103220131120
52304141311
6302150104
761513150
oct23503530
910613544
105146456
1129a5677
121882334
1310b2653
1497d760
156b9d21
hex4e8758

5146456 has 32 divisors (see below), whose sum is σ = 11412000. Its totient is φ = 2128896.

The previous prime is 5146451. The next prime is 5146469. The reversal of 5146456 is 6546415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5146451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40 + ... + 3208.

It is an arithmetic number, because the mean of its divisors is an integer number (356625).

Almost surely, 25146456 is an apocalyptic number.

5146456 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 5146456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706000).

5146456 is an abundant number, since it is smaller than the sum of its proper divisors (6265544).

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

5146456 is a wasteful number, since it uses less digits than its factorization.

5146456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3207 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 5146456 is about 2268.5801727071. The cubic root of 5146456 is about 172.6511284961.

The spelling of 5146456 in words is "five million, one hundred forty-six thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1624 3169 6338 12676 22183 25352 44366 88732 91901 177464 183802 367604 643307 735208 1286614 2573228 5146456