Search a number
-
+
61233237 = 32133371553
BaseRepresentation
bin1110100110010…
…1100001010101
311021012222012200
43221211201111
5111133430422
610024235113
71342321362
oct351454125
9137188180
1061233237
113162348a
121860ba99
13c8bc3b0
1481bd469
1555982ac
hex3a65855

61233237 has 24 divisors (see below), whose sum is σ = 95595864. Its totient is φ = 37545984.

The previous prime is 61233233. The next prime is 61233241. The reversal of 61233237 is 73233216.

61233237 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61233233) and next prime (61233241).

It can be written as a sum of positive squares in 4 ways, for example, as 1418481 + 59814756 = 1191^2 + 7734^2 .

It is not a de Polignac number, because 61233237 - 22 = 61233233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61233237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61233233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38653 + ... + 40205.

It is an arithmetic number, because the mean of its divisors is an integer number (3983161).

Almost surely, 261233237 is an apocalyptic number.

It is an amenable number.

61233237 is a deficient number, since it is larger than the sum of its proper divisors (34362627).

61233237 is a wasteful number, since it uses less digits than its factorization.

61233237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1906 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 61233237 is about 7825.1668991786. The cubic root of 61233237 is about 394.1507943157.

The spelling of 61233237 in words is "sixty-one million, two hundred thirty-three thousand, two hundred thirty-seven".

Divisors: 1 3 9 13 39 117 337 1011 1553 3033 4381 4659 13143 13977 20189 39429 60567 181701 523361 1570083 4710249 6803693 20411079 61233237