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4284204444 = 22321379115877
BaseRepresentation
bin1111111101011011…
…1100010110011100
3102001120111010122200
43333112330112130
532233224020234
61545041211500
7211111064652
oct37726742634
912046433580
104284204444
1118a935a233
129b6930b90
1353377ba20
142c8db4dd2
151a11b3d99
hexff5bc59c

4284204444 has 72 divisors (see below), whose sum is σ = 11810285760. Its totient is φ = 1301519232.

The previous prime is 4284204413. The next prime is 4284204451. The reversal of 4284204444 is 4444024824.

4284204444 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 204 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4284204399 and 4284204408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20967 + ... + 94910.

Almost surely, 24284204444 is an apocalyptic number.

It is an amenable number.

4284204444 is an abundant number, since it is smaller than the sum of its proper divisors (7526081316).

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

4284204444 is a wasteful number, since it uses less digits than its factorization.

4284204444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115979 (or 115974 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The square root of 4284204444 is about 65453.8344484110. The cubic root of 4284204444 is about 1624.1397506266.

The spelling of 4284204444 in words is "four billion, two hundred eighty-four million, two hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 117 156 158 234 237 316 468 474 711 948 1027 1422 2054 2844 3081 4108 6162 9243 12324 18486 36972 115877 231754 347631 463508 695262 1042893 1390524 1506401 2085786 3012802 4171572 4519203 6025604 9038406 9154283 13557609 18076812 18308566 27115218 27462849 36617132 54230436 54925698 82388547 109851396 119005679 164777094 238011358 329554188 357017037 476022716 714034074 1071051111 1428068148 2142102222 4284204444