Search a number
-
+
61665252 = 223112989181
BaseRepresentation
bin1110101100111…
…0111111100100
311022000220211020
43223032333210
5111241242002
610041411140
71346101035
oct353167744
9138026736
1061665252
1131899020
1218799ab0
13ca10c1c
148292a8c
1556312bc
hex3acefe4

61665252 has 96 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 17740800.

The previous prime is 61665221. The next prime is 61665283. The reversal of 61665252 is 25256616.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61665221) and next prime (61665283).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 340602 + ... + 340782.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 261665252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61665252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

61665252 is an abundant number, since it is smaller than the sum of its proper divisors (103445148).

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

61665252 is a wasteful number, since it uses less digits than its factorization.

61665252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 61665252 is about 7852.7225851930. The cubic root of 61665252 is about 395.0755653113.

The spelling of 61665252 in words is "sixty-one million, six hundred sixty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 89 116 132 174 178 181 267 319 348 356 362 534 543 638 724 957 979 1068 1086 1276 1914 1958 1991 2172 2581 2937 3828 3916 3982 5162 5249 5874 5973 7743 7964 10324 10498 11748 11946 15486 15747 16109 20996 23892 28391 30972 31494 32218 48327 56782 57739 62988 64436 85173 96654 113564 115478 170346 173217 177199 193308 230956 340692 346434 354398 467161 531597 692868 708796 934322 1063194 1401483 1868644 2126388 2802966 5138771 5605932 10277542 15416313 20555084 30832626 61665252