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5042412000 = 25345379197
BaseRepresentation
bin1001011001000110…
…10001100111100000
3111000102012001220000
410230203101213200
540311324141000
62152204220000
7235645536423
oct45443214740
914012161800
105042412000
11215834584a
12b8883a600
1362488b252
1435b9819ba
151e7a33000
hex12c8d19e0

5042412000 has 480 divisors, whose sum is σ = 18836737920. Its totient is φ = 1320883200.

The previous prime is 5042411989. The next prime is 5042412121. The reversal of 5042412000 is 2142405.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25595902 + ... + 25596098.

It is an arithmetic number, because the mean of its divisors is an integer number (39243204).

Almost surely, 25042412000 is an apocalyptic number.

5042412000 is a gapful number since it is divisible by the number (50) 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 5042412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9418368960).

5042412000 is an abundant number, since it is smaller than the sum of its proper divisors (13794325920).

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

5042412000 is a wasteful number, since it uses less digits than its factorization.

5042412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 5042412000 is about 71009.9429657566. The cubic root of 5042412000 is about 1714.7972402077.

Adding to 5042412000 its reverse (2142405), we get a palindrome (5044554405).

The spelling of 5042412000 in words is "five billion, forty-two million, four hundred twelve thousand".