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4228038045 = 3257112115783
BaseRepresentation
bin1111110000000010…
…1011110110011101
3101220122210120211200
43330000223312131
532124334204140
61535313310113
7206526505350
oct37400536635
911818716750
104228038045
11187a687620
1299bb65339
13524c4497a
142c1754297
1519b2bc030
hexfc02bd9d

4228038045 has 96 divisors (see below), whose sum is σ = 9181845504. Its totient is φ = 1748476800.

The previous prime is 4228038041. The next prime is 4228038047. The reversal of 4228038045 is 5408308224.

It is not a de Polignac number, because 4228038045 - 22 = 4228038041 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228038041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 728224 + ... + 734006.

It is an arithmetic number, because the mean of its divisors is an integer number (95644224).

Almost surely, 24228038045 is an apocalyptic number.

4228038045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4228038045 is an abundant number, since it is smaller than the sum of its proper divisors (4953807459).

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

4228038045 is a wasteful number, since it uses less digits than its factorization.

4228038045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6023 (or 6020 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4228038045 is about 65023.3653773780. The cubic root of 4228038045 is about 1617.0109549571.

The spelling of 4228038045 in words is "four billion, two hundred twenty-eight million, thirty-eight thousand, forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 211 231 315 385 495 633 693 1055 1155 1477 1899 2321 3165 3465 4431 5783 6963 7385 9495 11605 13293 16247 17349 20889 22155 28915 34815 40481 48741 52047 63613 66465 81235 86745 104445 121443 146223 190839 202405 243705 260235 318065 364329 445291 572517 607215 731115 954195 1220213 1335873 1821645 2226455 2862585 3660639 4007619 6101065 6679365 8541491 10981917 13422343 18303195 20038095 25624473 40267029 42707455 54909585 67111715 76873419 93956401 120801087 128122365 201335145 281869203 384367095 469782005 604005435 845607609 1409346015 4228038045