Search a number
-
+
4427201772 = 2234711531693
BaseRepresentation
bin1000001111110000…
…11011110011101100
3102102112120011010000
410013320123303230
533031330424042
62011150144300
7214465410540
oct40770336354
912375504100
104427201772
111972049244
12a367b2090
13557298426
142ddd99a20
151ada0d74c
hex107e1bcec

4427201772 has 120 divisors (see below), whose sum is σ = 13246239776. Its totient is φ = 1263071232.

The previous prime is 4427201749. The next prime is 4427201773. The reversal of 4427201772 is 2771027244.

It is a happy number.

4427201772 is a `hidden beast` number, since 442 + 7 + 201 + 7 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4427201773) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2614158 + ... + 2615850.

Almost surely, 24427201772 is an apocalyptic number.

4427201772 is a gapful number since it is divisible by the number (42) 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 4427201772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6623119888).

4427201772 is an abundant number, since it is smaller than the sum of its proper divisors (8819038004).

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

4427201772 is a wasteful number, since it uses less digits than its factorization.

4427201772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The square root of 4427201772 is about 66537.2209518853. The cubic root of 4427201772 is about 1642.0124229881.

The spelling of 4427201772 in words is "four billion, four hundred twenty-seven million, two hundred one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 1153 1693 2268 2306 3386 3459 4612 5079 6772 6918 8071 10158 10377 11851 13836 15237 16142 20316 20754 23702 24213 30474 31131 32284 35553 41508 45711 47404 48426 60948 62262 71106 72639 91422 93393 96852 106659 124524 137133 142212 145278 182844 186786 213318 217917 274266 290556 319977 373572 426636 435834 548532 639954 653751 871668 959931 1279908 1307502 1919862 1952029 2615004 3839724 3904058 5856087 7808116 11712174 13664203 17568261 23424348 27328406 35136522 40992609 52704783 54656812 70273044 81985218 105409566 122977827 158114349 163970436 210819132 245955654 316228698 368933481 491911308 632457396 737866962 1106800443 1475733924 2213600886 4427201772