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4021217382 = 2371316744101
BaseRepresentation
bin1110111110101110…
…1110100001100110
3101101020122000020010
43233223232201212
531213412424012
61503004351050
7201435532560
oct35753564146
911336560203
104021217382
111783966156
12942845486
134c113cc90
142a20b8330
15188066c3c
hexefaee866

4021217382 has 64 divisors (see below), whose sum is σ = 9957878784. Its totient is φ = 1054166400.

The previous prime is 4021217381. The next prime is 4021217419. The reversal of 4021217382 is 2837121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021217381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69132 + ... + 113232.

It is an arithmetic number, because the mean of its divisors is an integer number (155591856).

Almost surely, 24021217382 is an apocalyptic number.

4021217382 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021217382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978939392).

4021217382 is an abundant number, since it is smaller than the sum of its proper divisors (5936661402).

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

4021217382 is a wasteful number, since it uses less digits than its factorization.

4021217382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44293.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 4021217382 is about 63413.0694888680. The cubic root of 4021217382 is about 1590.2028118335.

Adding to 4021217382 its reverse (2837121204), we get a palindrome (6858338586).

The spelling of 4021217382 in words is "four billion, twenty-one million, two hundred seventeen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 167 182 273 334 501 546 1002 1169 2171 2338 3507 4342 6513 7014 13026 15197 30394 44101 45591 88202 91182 132303 264606 308707 573313 617414 926121 1146626 1719939 1852242 3439878 4013191 7364867 8026382 12039573 14729734 22094601 24079146 44189202 51554069 95743271 103108138 154662207 191486542 287229813 309324414 574459626 670202897 1340405794 2010608691 4021217382