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4047155040 = 253519736079
BaseRepresentation
bin1111000100111010…
…1010111101100000
3101110001102210000010
43301032222331200
531242032430130
61505332324520
7202202151555
oct36116527540
911401383003
104047155040
111797571535
1294b473740
134c6621bc6
142a570aa2c
1518a48c0b0
hexf13aaf60

4047155040 has 192 divisors, whose sum is σ = 13605580800. Its totient is φ = 1008267264.

The previous prime is 4047155039. The next prime is 4047155041. The reversal of 4047155040 is 405517404.

It is an interprime number because it is at equal distance from previous prime (4047155039) and next prime (4047155041).

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

It is a junction number, because it is equal to n+sod(n) for n = 4047154989 and 4047155007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4047155041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662721 + ... + 668799.

It is an arithmetic number, because the mean of its divisors is an integer number (70862400).

Almost surely, 24047155040 is an apocalyptic number.

4047155040 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 4047155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802790400).

4047155040 is an abundant number, since it is smaller than the sum of its proper divisors (9558425760).

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

4047155040 is a wasteful number, since it uses less digits than its factorization.

4047155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6189 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 4047155040 is about 63617.2542632893. The cubic root of 4047155040 is about 1593.6145291695.

The spelling of 4047155040 in words is "four billion, forty-seven million, one hundred fifty-five thousand, forty".