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4826388672 = 26337317479
BaseRepresentation
bin1000111111010110…
…01101100011000000
3110110100200221121000
410133223031203000
534341023414142
62114530132000
7230413425000
oct43753154300
913410627530
104826388672
112057409276
12b28421000
135bbbb38b1
1433adcc000
151d3ab114c
hex11facd8c0

4826388672 has 448 divisors, whose sum is σ = 17556480000. Its totient is φ = 1295142912.

The previous prime is 4826388643. The next prime is 4826388673. The reversal of 4826388672 is 2768836284.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×48263886722 = 46588055226419847168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4826388673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10075729 + ... + 10076207.

Almost surely, 24826388672 is an apocalyptic number.

4826388672 is a gapful number since it is divisible by the number (42) 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 4826388672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778240000).

4826388672 is an abundant number, since it is smaller than the sum of its proper divisors (12730091328).

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

4826388672 is a wasteful number, since it uses less digits than its factorization.

4826388672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 508 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 4826388672 is about 69472.2151079120. The cubic root of 4826388672 is about 1689.9509424038.

The spelling of 4826388672 in words is "four billion, eight hundred twenty-six million, three hundred eighty-eight thousand, six hundred seventy-two".