Search a number
-
+
4772431482 = 2371333126407
BaseRepresentation
bin1000111000111010…
…11000011001111010
3110022121011122020120
410130131120121322
534233220301412
62105321434110
7226156666260
oct43435303172
913277148216
104772431482
112029a05455
12b1233b936
135b0971270
14333b84430
151cdea3b8c
hex11c75867a

4772431482 has 64 divisors (see below), whose sum is σ = 11783460864. Its totient is φ = 1254813120.

The previous prime is 4772431463. The next prime is 4772431501. The reversal of 4772431482 is 2841342774.

It is an interprime number because it is at equal distance from previous prime (4772431463) and next prime (4772431501).

It is a super-2 number, since 2×47724314822 = 45552204500769432648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 167523 + ... + 193929.

It is an arithmetic number, because the mean of its divisors is an integer number (184116576).

Almost surely, 24772431482 is an apocalyptic number.

4772431482 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4772431482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5891730432).

4772431482 is an abundant number, since it is smaller than the sum of its proper divisors (7011029382).

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

4772431482 is a wasteful number, since it uses less digits than its factorization.

4772431482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26763.

The product of its digits is 301056, while the sum is 42.

The square root of 4772431482 is about 69082.7871614920. The cubic root of 4772431482 is about 1683.6296574004.

The spelling of 4772431482 in words is "four billion, seven hundred seventy-two million, four hundred thirty-one thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 331 546 662 993 1986 2317 4303 4634 6951 8606 12909 13902 25818 26407 30121 52814 60242 79221 90363 158442 180726 184849 343291 369698 554547 686582 1029873 1109094 2059746 2403037 4806074 7209111 8740717 14418222 17481434 26222151 52444302 61185019 113629321 122370038 183555057 227258642 340887963 367110114 681775926 795405247 1590810494 2386215741 4772431482