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2007442944 = 293213233147
BaseRepresentation
bin111011110100111…
…0010011000000000
312011220100200000200
41313221302120000
513102401133234
6531110245200
7100513661223
oct16751623000
95156320020
102007442944
11940170661
12480356800
1325cb82080
141508755ba
15bb382d99
hex77a72600

2007442944 has 480 divisors, whose sum is σ = 6863560704. Its totient is φ = 559595520.

The previous prime is 2007442907. The next prime is 2007442949. The reversal of 2007442944 is 4492447002.

2007442944 is a `hidden beast` number, since 200 + 7 + 442 + 9 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2007442899 and 2007442908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007442949) 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, 42711529 + ... + 42711575.

Almost surely, 22007442944 is an apocalyptic number.

2007442944 is a gapful number since it is divisible by the number (24) 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 2007442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431780352).

2007442944 is an abundant number, since it is smaller than the sum of its proper divisors (4856117760).

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

2007442944 is a wasteful number, since it uses less digits than its factorization.

2007442944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2007442944 is about 44804.4969171622. The cubic root of 2007442944 is about 1261.4820354085.

Adding to 2007442944 its reverse (4492447002), we get a palindrome (6499889946).

The spelling of 2007442944 in words is "two billion, seven million, four hundred forty-two thousand, nine hundred forty-four".