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649893888 = 2113372373
BaseRepresentation
bin100110101111001…
…001100000000000
31200021220000211000
4212233021200000
52312333101023
6144253252000
722051002240
oct4657114000
91607800730
10649893888
11303936996
12161794000
13a48478c7
1462453b20
153c0c6243
hex26bc9800

649893888 has 384 divisors, whose sum is σ = 2327270400. Its totient is φ = 175177728.

The previous prime is 649893859. The next prime is 649893899. The reversal of 649893888 is 888398946.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (23887872) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8902620 + ... + 8902692.

It is an arithmetic number, because the mean of its divisors is an integer number (6060600).

Almost surely, 2649893888 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 649893888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163635200).

649893888 is an abundant number, since it is smaller than the sum of its proper divisors (1677376512).

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

649893888 is a wasteful number, since it uses less digits than its factorization.

649893888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The square root of 649893888 is about 25493.0164554923. The cubic root of 649893888 is about 866.1919651531.

The spelling of 649893888 in words is "six hundred forty-nine million, eight hundred ninety-three thousand, eight hundred eighty-eight".