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4424621568 = 29331432161
BaseRepresentation
bin1000001111011101…
…00101111000000000
3102102100201001201220
410013232211320000
533030200342233
62011014555040
7214434443223
oct40756457000
912370631656
104424621568
111970646744
12a35968a80
135568a3b93
142dd8c75ba
151ad69deb3
hex107ba5e00

4424621568 has 160 divisors (see below), whose sum is σ = 12456440832. Its totient is φ = 1393459200.

The previous prime is 4424621567. The next prime is 4424621581. The reversal of 4424621568 is 8651264244.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424621567) 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, 2046408 + ... + 2048568.

Almost surely, 24424621568 is an apocalyptic number.

4424621568 is a gapful number since it is divisible by the number (48) 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 4424621568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228220416).

4424621568 is an abundant number, since it is smaller than the sum of its proper divisors (8031819264).

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

4424621568 is a wasteful number, since it uses less digits than its factorization.

4424621568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2240 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 4424621568 is about 66517.8289483353. The cubic root of 4424621568 is about 1641.6933689090.

The spelling of 4424621568 in words is "four billion, four hundred twenty-four million, six hundred twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 43 48 62 64 86 93 96 124 128 129 172 186 192 248 256 258 344 372 384 496 512 516 688 744 768 992 1032 1333 1376 1488 1536 1984 2064 2161 2666 2752 2976 3968 3999 4128 4322 5332 5504 5952 6483 7936 7998 8256 8644 10664 11008 11904 12966 15872 15996 16512 17288 21328 22016 23808 25932 31992 33024 34576 42656 47616 51864 63984 66048 66991 69152 85312 92923 103728 127968 133982 138304 170624 185846 200973 207456 255936 267964 276608 278769 341248 371692 401946 414912 511872 535928 553216 557538 682496 743384 803892 829824 1023744 1071856 1106432 1115076 1486768 1607784 1659648 2047488 2143712 2230152 2880613 2973536 3215568 3319296 4287424 4460304 5761226 5947072 6431136 8574848 8641839 8920608 11522452 11894144 12862272 17149696 17283678 17841216 23044904 23788288 25724544 34299392 34567356 35682432 46089808 47576576 51449088 69134712 71364864 92179616 102898176 138269424 142729728 184359232 276538848 368718464 553077696 737436928 1106155392 1474873856 2212310784 4424621568