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4022045104 = 247115955333
BaseRepresentation
bin1110111110111011…
…1000100110110000
3101101022012001122111
43233232320212300
531214120420404
61503034215104
7201445551010
oct35756704660
911338161574
104022045104
111784381020
12942b84494
134c136c95c
142a2251c40
1518817c104
hexefbb89b0

4022045104 has 80 divisors (see below), whose sum is σ = 9880439040. Its totient is φ = 1540442880.

The previous prime is 4022045099. The next prime is 4022045123. The reversal of 4022045104 is 4015402204.

It is a happy number.

It is a super-2 number, since 2×40220451042 = 32353693637220741632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45022 + ... + 100354.

It is an arithmetic number, because the mean of its divisors is an integer number (123505488).

Almost surely, 24022045104 is an apocalyptic number.

4022045104 is a gapful number since it is divisible by the number (44) 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 4022045104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940219520).

4022045104 is an abundant number, since it is smaller than the sum of its proper divisors (5858393936).

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

4022045104 is a wasteful number, since it uses less digits than its factorization.

4022045104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55418 (or 55412 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 4022045104 is about 63419.5955836995. The cubic root of 4022045104 is about 1590.3119127538.

Adding to 4022045104 its reverse (4015402204), we get a palindrome (8037447308).

The spelling of 4022045104 in words is "four billion, twenty-two million, forty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 59 77 88 112 118 154 176 236 308 413 472 616 649 826 944 1232 1298 1652 2596 3304 4543 5192 6608 9086 10384 18172 36344 55333 72688 110666 221332 387331 442664 608663 774662 885328 1217326 1549324 2434652 3098648 3264647 4260641 4869304 6197296 6529294 8521282 9738608 13058588 17042564 22852529 26117176 34085128 35911117 45705058 52234352 68170256 71822234 91410116 143644468 182820232 251377819 287288936 365640464 502755638 574577872 1005511276 2011022552 4022045104