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4464402425 = 527376189127
BaseRepresentation
bin1000010100001100…
…10101111111111001
3102112010120010210222
410022012111333321
533120341334200
62014555345425
7215426536340
oct41206257771
912463503728
104464402425
11199104768a
12a47152275
13561bc1a52
14304cc0b57
151b1e0ad85
hex10a195ff9

4464402425 has 96 divisors (see below), whose sum is σ = 6730997760. Its totient is φ = 2874009600.

The previous prime is 4464402421. The next prime is 4464402433. The reversal of 4464402425 is 5242044644.

4464402425 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4464402425 - 22 = 4464402421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (4464402421) 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, 35152712 + ... + 35152838.

It is an arithmetic number, because the mean of its divisors is an integer number (70114560).

Almost surely, 24464402425 is an apocalyptic number.

It is an amenable number.

4464402425 is a deficient number, since it is larger than the sum of its proper divisors (2266595335).

4464402425 is a wasteful number, since it uses less digits than its factorization.

4464402425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

The square root of 4464402425 is about 66816.1838554104. The cubic root of 4464402425 is about 1646.5987388908.

The spelling of 4464402425 in words is "four billion, four hundred sixty-four million, four hundred two thousand, four hundred twenty-five".

Divisors: 1 5 7 25 35 37 61 89 127 175 185 259 305 427 445 623 635 889 925 1295 1525 2135 2225 2257 3115 3175 3293 4445 4699 5429 6475 7747 10675 11285 11303 15575 15799 16465 22225 23051 23495 27145 32893 38003 38735 54229 56425 56515 78995 79121 82325 115255 117475 135725 164465 190015 193675 200873 271145 282575 286639 394975 395605 418211 576275 689483 822325 950075 1004365 1355725 1406111 1433195 1978025 2006473 2091055 2927477 3447415 4826381 5021825 7030555 7165975 10032365 10455275 14637385 17237075 24131905 25510871 35152775 50161825 73186925 120659525 127554355 178576097 637771775 892880485 4464402425