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5374656 = 263273143
BaseRepresentation
bin10100100000001011000000
3101010001122100
4110200023000
52333442111
6311110400
763453360
oct24401300
911101570
105374656
113041071
121972400
131162491
149dc9a0
15712756
hex5202c0

5374656 has 168 divisors, whose sum is σ = 18596864. Its totient is φ = 1451520.

The previous prime is 5374651. The next prime is 5374661. The reversal of 5374656 is 6564735.

5374656 = T385 + T386 + ... + T446.

It is an interprime number because it is at equal distance from previous prime (5374651) and next prime (5374661).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5374656.

It is not an unprimeable number, because it can be changed into a prime (5374651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124971 + ... + 125013.

Almost surely, 25374656 is an apocalyptic number.

5374656 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 5374656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9298432).

5374656 is an abundant number, since it is smaller than the sum of its proper divisors (13222208).

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

5374656 is a wasteful number, since it uses less digits than its factorization.

5374656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 5374656 is about 2318.3304337389. The cubic root of 5374656 is about 175.1661659817.

The spelling of 5374656 in words is "five million, three hundred seventy-four thousand, six hundred fifty-six".