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4835701242 = 233592516047
BaseRepresentation
bin1001000000011101…
…01111000111111010
3110111000020002001000
410200032233013322
534400414414432
62115501505430
7230555532231
oct44016570772
913430202030
104835701242
112061699a09
12b2b572276
135c0ac45a8
1433c333b18
151d480057c
hex1203af1fa

4835701242 has 64 divisors (see below), whose sum is σ = 10973491200. Its totient is φ = 1578006000.

The previous prime is 4835701223. The next prime is 4835701249. The reversal of 4835701242 is 2421075384.

It is a happy number.

4835701242 is a `hidden beast` number, since 4 + 83 + 570 + 1 + 2 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4835701197 and 4835701206.

It is not an unprimeable number, because it can be changed into a prime (4835701249) 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, 796663 + ... + 802709.

It is an arithmetic number, because the mean of its divisors is an integer number (171460800).

Almost surely, 24835701242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4835701242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486745600).

4835701242 is an abundant number, since it is smaller than the sum of its proper divisors (6137789958).

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

4835701242 is a wasteful number, since it uses less digits than its factorization.

4835701242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4835701242 is about 69539.2065097093. The cubic root of 4835701242 is about 1691.0371703806.

The spelling of 4835701242 in words is "four billion, eight hundred thirty-five million, seven hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 251 354 502 531 753 1062 1506 1593 2259 3186 4518 6047 6777 12094 13554 14809 18141 29618 36282 44427 54423 88854 108846 133281 163269 266562 326538 356773 399843 713546 799686 1070319 1517797 2140638 3035594 3210957 4553391 6421914 9106782 9632871 13660173 19265742 27320346 40980519 81961038 89550023 179100046 268650069 537300138 805950207 1611900414 2417850621 4835701242