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5122656 = 253372112
BaseRepresentation
bin10011100010101001100000
3100122020222000
4103202221200
52302411111
6301444000
761353600
oct23425140
910566860
105122656
112989800
121870600
1310a4876
14974c00
156b2c56
hex4e2a60

5122656 has 216 divisors, whose sum is σ = 19104120. Its totient is φ = 1330560.

The previous prime is 5122651. The next prime is 5122669. The reversal of 5122656 is 6562215.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5122656 is a `hidden beast` number, since 5 + 1 + 2 + 2 + 656 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5122651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 465691 + ... + 465701.

It is an arithmetic number, because the mean of its divisors is an integer number (88445).

Almost surely, 25122656 is an apocalyptic number.

5122656 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 5122656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9552060).

5122656 is an abundant number, since it is smaller than the sum of its proper divisors (13981464).

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

5122656 is a wasteful number, since it uses less digits than its factorization.

5122656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 23 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 5122656 is about 2263.3285223317. The cubic root of 5122656 is about 172.3845730638.

It can be divided in two parts, 5122 and 656, that added together give a triangular number (5778 = T107).

The spelling of 5122656 in words is "five million, one hundred twenty-two thousand, six hundred fifty-six".