Search a number
-
+
4282525998 = 233176597079
BaseRepresentation
bin1111111101000010…
…0010100100101110
3102001110022212021000
43333100202210232
532232311312443
61544541221130
7211060604352
oct37720424456
912043285230
104282525998
1118a8413193
129b62617a6
13533311a6a
142c8a99462
151a0e818d3
hexff42292e

4282525998 has 64 divisors (see below), whose sum is σ = 10093248000. Its totient is φ = 1341309312.

The previous prime is 4282525993. The next prime is 4282526021. The reversal of 4282525998 is 8995252824.

It is a happy number.

4282525998 is a `hidden beast` number, since 4 + 28 + 2 + 525 + 9 + 98 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4282525993) by changing a digit.

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, 601423 + ... + 608501.

It is an arithmetic number, because the mean of its divisors is an integer number (157707000).

Almost surely, 24282525998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4282525998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046624000).

4282525998 is an abundant number, since it is smaller than the sum of its proper divisors (5810722002).

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

4282525998 is a wasteful number, since it uses less digits than its factorization.

4282525998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7766 (or 7760 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 4282525998 is about 65441.0115905920. The cubic root of 4282525998 is about 1623.9276235773.

The spelling of 4282525998 in words is "four billion, two hundred eighty-two million, five hundred twenty-five thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 659 918 1318 1977 3954 5931 7079 11203 11862 14158 17793 21237 22406 33609 35586 42474 63711 67218 100827 120343 127422 191133 201654 240686 302481 361029 382266 604962 722058 1083087 2166174 3249261 4665061 6498522 9330122 13995183 27990366 41985549 79306037 83971098 125956647 158612074 237918111 251913294 475836222 713754333 1427508666 2141262999 4282525998