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4058313840 = 2436579941
BaseRepresentation
bin1111000111100100…
…1111010001110000
3101110211102201000000
43301321033101300
531302412020330
61510411430000
7202366045530
oct36171172160
911424381000
104058313840
1117a28a3289
12953155300
134c8a2b049
142a6db34c0
1518b443560
hexf1e4f470

4058313840 has 280 divisors, whose sum is σ = 16169509728. Its totient is φ = 927521280.

The previous prime is 4058313799. The next prime is 4058313851. The reversal of 4058313840 is 483138504.

4058313840 is a `hidden beast` number, since 4 + 0 + 583 + 1 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×40583138402 = 32939822447871091200, which contains 22 as substring.

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 = 4058313795 and 4058313804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 403270 + ... + 413210.

Almost surely, 24058313840 is an apocalyptic number.

4058313840 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 4058313840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8084754864).

4058313840 is an abundant number, since it is smaller than the sum of its proper divisors (12111195888).

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

4058313840 is an equidigital number, since it uses as much as digits as its factorization.

4058313840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9979 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4058313840 is about 63704.8965151031. The cubic root of 4058313840 is about 1595.0778210409.

The spelling of 4058313840 in words is "four billion, fifty-eight million, three hundred thirteen thousand, eight hundred forty".