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4445306404 = 22711171376197
BaseRepresentation
bin1000010001111010…
…11111111000100100
3102110210121221222221
410020331133320210
533100444301104
62013034202124
7215105323660
oct41075377044
912423557887
104445306404
111981294550
12a40883344
1355ac66c26
1430254d8a0
151b03d7c54
hex108f5fe24

4445306404 has 96 divisors (see below), whose sum is σ = 10345999104. Its totient is φ = 1617899520.

The previous prime is 4445306399. The next prime is 4445306413. The reversal of 4445306404 is 4046035444.

It is a super-2 number, since 2×44453064042 = 39521498050886822432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 4445306404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 714234 + ... + 720430.

It is an arithmetic number, because the mean of its divisors is an integer number (107770824).

Almost surely, 24445306404 is an apocalyptic number.

4445306404 is a gapful number since it is divisible by the number (44) 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 4445306404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172999552).

4445306404 is an abundant number, since it is smaller than the sum of its proper divisors (5900692700).

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

4445306404 is a wasteful number, since it uses less digits than its factorization.

4445306404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

The square root of 4445306404 is about 66673.1310499215. The cubic root of 4445306404 is about 1644.2476647696.

The spelling of 4445306404 in words is "four billion, four hundred forty-five million, three hundred six thousand, four hundred four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 137 154 187 238 274 308 374 476 548 748 959 1309 1507 1918 2329 2618 3014 3836 4658 5236 6028 6197 9316 10549 12394 16303 21098 24788 25619 32606 42196 43379 51238 65212 68167 86758 102476 105349 136334 173516 179333 210698 272668 358666 421396 477169 717332 737443 848989 954338 1158839 1474886 1697978 1908676 2317678 2949772 3395956 4635356 5942923 8111873 9338879 11885846 14432813 16223746 18677758 23771692 28865626 32447492 37355516 57731252 65372153 101029691 130744306 158760943 202059382 261488612 317521886 404118764 635043772 1111326601 2222653202 4445306404