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2007044480 = 27571719273
BaseRepresentation
bin111011110100001…
…0001000110000000
312011212121102102202
41313220101012000
513102300410410
6531053532332
7100510411430
oct16750210600
95155542382
102007044480
1193aa19251
124801a40a8
1325ca728ac
141507b02c0
15bb304ca5
hex77a11180

2007044480 has 384 divisors, whose sum is σ = 6211702080. Its totient is φ = 605159424.

The previous prime is 2007044419. The next prime is 2007044483. The reversal of 2007044480 is 844407002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007044483) 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, 27493724 + ... + 27493796.

Almost surely, 22007044480 is an apocalyptic number.

2007044480 is a gapful number since it is divisible by the number (20) 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 2007044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105851040).

2007044480 is an abundant number, since it is smaller than the sum of its proper divisors (4204657600).

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

2007044480 is a wasteful number, since it uses less digits than its factorization.

2007044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 2007044480 is about 44800.0499999721. The cubic root of 2007044480 is about 1261.3985646360.

The spelling of 2007044480 in words is "two billion, seven million, forty-four thousand, four hundred eighty".