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4046420000 = 2554724129
BaseRepresentation
bin1111000100101111…
…0111100000100000
3101110000001102201102
43301023313200200
531241340420000
61505304453532
7202163000600
oct36113674040
911400042642
104046420000
11179710a267
1294b17a2a8
134c642547c
142a5598c00
1518a3943d5
hexf12f7820

4046420000 has 180 divisors, whose sum is σ = 11582878230. Its totient is φ = 1387008000.

The previous prime is 4046419981. The next prime is 4046420017. The reversal of 4046420000 is 246404.

It can be written as a sum of positive squares in 5 ways, for example, as 73891216 + 3972528784 = 8596^2 + 63028^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 977936 + ... + 982064.

Almost surely, 24046420000 is an apocalyptic number.

4046420000 is a gapful number since it is divisible by the number (40) 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 4046420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791439115).

4046420000 is an abundant number, since it is smaller than the sum of its proper divisors (7536458230).

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

4046420000 is an equidigital number, since it uses as much as digits as its factorization.

4046420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4046420000 is about 63611.4769518835. The cubic root of 4046420000 is about 1593.5180464688.

Adding to 4046420000 its reverse (246404), we get a palindrome (4046666404).

The spelling of 4046420000 in words is "four billion, forty-six million, four hundred twenty thousand".