Search a number
-
+
55348536 = 233532821
BaseRepresentation
bin1101001100100…
…0110100111000
310212010222220210
43103020310320
5103132123121
65254151120
71241311665
oct323106470
9125128823
1055348536
11292741a1
12166524a0
13b60ba19
1474caa6c
154cd4876
hex34c8d38

55348536 has 48 divisors (see below), whose sum is σ = 141203160. Its totient is φ = 18079360.

The previous prime is 55348519. The next prime is 55348537. The reversal of 55348536 is 63584355.

It is a junction number, because it is equal to n+sod(n) for n = 55348494 and 55348503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55348537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67006 + ... + 67826.

Almost surely, 255348536 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 55348536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70601580).

55348536 is an abundant number, since it is smaller than the sum of its proper divisors (85854624).

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

55348536 is a wasteful number, since it uses less digits than its factorization.

55348536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 879 counting only the distinct ones).

The product of its digits is 216000, while the sum is 39.

The square root of 55348536 is about 7439.6596696354. The cubic root of 55348536 is about 381.0968677857.

The spelling of 55348536 in words is "fifty-five million, three hundred forty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 821 1272 1642 2463 2809 3284 4926 5618 6568 8427 9852 11236 16854 19704 22472 33708 43513 67416 87026 130539 174052 261078 348104 522156 1044312 2306189 4612378 6918567 9224756 13837134 18449512 27674268 55348536