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4122447252 = 22371121921347
BaseRepresentation
bin1111010110110111…
…1000110110010100
3101122022010000111120
43311231320312110
531420321303002
61521022203540
7204105136440
oct36555706624
911568100446
104122447252
111826017700
129707235b0
135090c4501
142b1709820
15191db0cbc
hexf5b78d94

4122447252 has 144 divisors (see below), whose sum is σ = 12719992320. Its totient is φ = 1014361920.

The previous prime is 4122447247. The next prime is 4122447289. The reversal of 4122447252 is 2527442214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 182443 + ... + 203789.

It is an arithmetic number, because the mean of its divisors is an integer number (88333280).

Almost surely, 24122447252 is an apocalyptic number.

4122447252 is a gapful number since it is divisible by the number (42) 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 4122447252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6359996160).

4122447252 is an abundant number, since it is smaller than the sum of its proper divisors (8597545068).

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

4122447252 is a wasteful number, since it uses less digits than its factorization.

4122447252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21402 (or 21389 counting only the distinct ones).

The product of its digits is 35840, while the sum is 33.

The square root of 4122447252 is about 64206.2867015373. The cubic root of 4122447252 is about 1603.4362673626.

Adding to 4122447252 its reverse (2527442214), we get a palindrome (6649889466).

The spelling of 4122447252 in words is "four billion, one hundred twenty-two million, four hundred forty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 121 132 133 154 209 228 231 242 266 308 363 399 418 462 484 532 627 726 798 836 847 924 1254 1452 1463 1596 1694 2299 2508 2541 2926 3388 4389 4598 5082 5852 6897 8778 9196 10164 13794 16093 17556 21347 27588 32186 42694 48279 64041 64372 85388 96558 128082 149429 193116 234817 256164 298858 405593 448287 469634 597716 704451 811186 896574 939268 1216779 1408902 1622372 1643719 1793148 2433558 2582987 2817804 2839151 3287438 4461523 4867116 4931157 5165974 5678302 6574876 7748961 8517453 8923046 9862314 10331948 11356604 13384569 15497922 17034906 17846092 18080909 19724628 26769138 30995844 31230661 34069812 36161818 49076753 53538276 54242727 62461322 72323636 93691983 98153506 108485454 124922644 147230259 187383966 196307012 216970908 294460518 343537271 374767932 588921036 687074542 1030611813 1374149084 2061223626 4122447252