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4826640 = 2435713217
BaseRepresentation
bin10010011010011000010000
3100002012220110
4102122120100
52213423030
6251241320
756011560
oct22323020
910065813
104826640
1127a7365
121749240
13cccc00
148d8da0
156551b0
hex49a610

4826640 has 240 divisors, whose sum is σ = 19605888. Its totient is φ = 958464.

The previous prime is 4826611. The next prime is 4826641. The reversal of 4826640 is 466284.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 49 + 87 + 219 + 64 + 68 + 49 + 0 .

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 4826598 and 4826607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4826641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283912 + ... + 283928.

Almost surely, 24826640 is an apocalyptic number.

4826640 is a gapful number since it is divisible by the number (40) 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 4826640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9802944).

4826640 is an abundant number, since it is smaller than the sum of its proper divisors (14779248).

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

4826640 is a wasteful number, since it uses less digits than its factorization.

4826640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4826640 is about 2196.9615381249. The cubic root of 4826640 is about 168.9980275904.

The spelling of 4826640 in words is "four million, eight hundred twenty-six thousand, six hundred forty".