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4037054112 = 2532713314969
BaseRepresentation
bin1111000010100000…
…1000111010100000
3101102100102121010200
43300220020322200
531231441212422
61504332025200
7202020252030
oct36050107240
911370377120
104037054112
1117918a2563
12948002200
134c44c6420
142a423b8c0
151896442ac
hexf0a08ea0

4037054112 has 288 divisors, whose sum is σ = 14588421120. Its totient is φ = 1030164480.

The previous prime is 4037054111. The next prime is 4037054123. The reversal of 4037054112 is 2114507304.

4037054112 is a `hidden beast` number, since 40 + 3 + 70 + 541 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×40370541122 = 32595611806432217088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4037054111) 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, 809964 + ... + 814932.

It is an arithmetic number, because the mean of its divisors is an integer number (50654240).

Almost surely, 24037054112 is an apocalyptic number.

4037054112 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 4037054112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7294210560).

4037054112 is an abundant number, since it is smaller than the sum of its proper divisors (10551367008).

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

4037054112 is a wasteful number, since it uses less digits than its factorization.

4037054112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5036 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4037054112 is about 63537.8163930741. The cubic root of 4037054112 is about 1592.2876385736.

The spelling of 4037054112 in words is "four billion, thirty-seven million, fifty-four thousand, one hundred twelve".