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4013263072 = 257213475971
BaseRepresentation
bin1110111100110101…
…1000100011100000
3101100200122212222001
43233031120203200
531204343404242
61502122053344
7201311113300
oct35715304340
911320585861
104013263072
11177a422a45
1294004a254
134bc5b65a0
142a1007600
151874e4eb7
hexef3588e0

4013263072 has 288 divisors, whose sum is σ = 10424816640. Its totient is φ = 1506032640.

The previous prime is 4013263039. The next prime is 4013263073. The reversal of 4013263072 is 2703623104.

4013263072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40132630722 = 32212560970157754368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4013263072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013263073) 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, 56524797 + ... + 56524867.

It is an arithmetic number, because the mean of its divisors is an integer number (36197280).

Almost surely, 24013263072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013263072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212408320).

4013263072 is an abundant number, since it is smaller than the sum of its proper divisors (6411553568).

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

4013263072 is a wasteful number, since it uses less digits than its factorization.

4013263072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 4013263072 is about 63350.3202201852. The cubic root of 4013263072 is about 1589.1536009150.

Adding to 4013263072 its reverse (2703623104), we get a palindrome (6716886176).

The spelling of 4013263072 in words is "four billion, thirteen million, two hundred sixty-three thousand, seventy-two".