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4022420272 = 2413103191983
BaseRepresentation
bin1110111111000001…
…0100001100110000
3101101022220010021121
43233300110030300
531214214422042
61503050232024
7201452002543
oct35760241460
911338803247
104022420272
111784607982
12943125614
134c1471650
142a230c85a
15188203367
hexefc14330

4022420272 has 80 divisors (see below), whose sum is σ = 8527454208. Its totient is φ = 1826991360.

The previous prime is 4022420261. The next prime is 4022420273. The reversal of 4022420272 is 2720242204.

It is not an unprimeable number, because it can be changed into a prime (4022420273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4091493 + ... + 4092475.

Almost surely, 24022420272 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 4022420272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263727104).

4022420272 is an abundant number, since it is smaller than the sum of its proper divisors (4505033936).

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

4022420272 is a wasteful number, since it uses less digits than its factorization.

4022420272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 25.

The square root of 4022420272 is about 63422.5533386981. The cubic root of 4022420272 is about 1590.3613582120.

Adding to 4022420272 its reverse (2720242204), we get a palindrome (6742662476).

The spelling of 4022420272 in words is "four billion, twenty-two million, four hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 103 104 191 206 208 382 412 764 824 983 1339 1528 1648 1966 2483 2678 3056 3932 4966 5356 7864 9932 10712 12779 15728 19673 19864 21424 25558 39346 39728 51116 78692 101249 102232 157384 187753 202498 204464 255749 314768 375506 404996 511498 751012 809992 1022996 1316237 1502024 1619984 2045992 2440789 2632474 3004048 4091984 4881578 5264948 9763156 10529896 19338559 19526312 21059792 38677118 39052624 77354236 154708472 251401267 309416944 502802534 1005605068 2011210136 4022420272