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4327019844 = 2237479711299
BaseRepresentation
bin1000000011110100…
…10001010101000100
3102011120001101100020
410001322101111010
532330204113334
61553211015140
7212141030130
oct40172212504
912146041306
104327019844
111920543064
12a0913a4b0
1353c5bcb94
142d095c3c0
151a4d1ee49
hex101e91544

4327019844 has 96 divisors (see below), whose sum is σ = 11906764800. Its totient is φ = 1197407232.

The previous prime is 4327019839. The next prime is 4327019863. The reversal of 4327019844 is 4489107234.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4327019796 and 4327019805.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377307 + ... + 388605.

It is an arithmetic number, because the mean of its divisors is an integer number (124028800).

Almost surely, 24327019844 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 4327019844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953382400).

4327019844 is an abundant number, since it is smaller than the sum of its proper divisors (7579744956).

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

4327019844 is a wasteful number, since it uses less digits than its factorization.

4327019844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11457 (or 11455 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 4327019844 is about 65780.0869868686. The cubic root of 4327019844 is about 1629.5322586797.

The spelling of 4327019844 in words is "four billion, three hundred twenty-seven million, nineteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 97 141 188 194 282 291 329 388 564 582 658 679 987 1164 1316 1358 1974 2037 2716 3948 4074 4559 8148 9118 11299 13677 18236 22598 27354 31913 33897 45196 54708 63826 67794 79093 95739 127652 135588 158186 191478 237279 316372 382956 474558 531053 949116 1062106 1096003 1593159 2124212 2192006 3186318 3288009 3717371 4384012 6372636 6576018 7434742 7672021 11152113 13152036 14869484 15344042 22304226 23016063 30688084 44608452 46032126 51512141 92064252 103024282 154536423 206048564 309072846 360584987 618145692 721169974 1081754961 1442339948 2163509922 4327019844