Search a number
-
+
49122348 = 223111033613
BaseRepresentation
bin1011101101100…
…0110000101100
310102102200012020
42323120300230
5100033403343
64512510140
71134350562
oct273306054
9112380166
1049122348
1125801390
121454b350
13a23baa2
146749a32
1544a4b83
hex2ed8c2c

49122348 has 48 divisors (see below), whose sum is σ = 126287616. Its totient is φ = 14736960.

The previous prime is 49122331. The next prime is 49122373. The reversal of 49122348 is 84322194.

49122348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11790 + ... + 15402.

It is an arithmetic number, because the mean of its divisors is an integer number (2630992).

Almost surely, 249122348 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 49122348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63143808).

49122348 is an abundant number, since it is smaller than the sum of its proper divisors (77165268).

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

49122348 is a wasteful number, since it uses less digits than its factorization.

49122348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3732 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 49122348 is about 7008.7336944701. The cubic root of 49122348 is about 366.2348816304.

It can be divided in two parts, 4912 and 2348, that added together give a triangular number (7260 = T120).

The spelling of 49122348 in words is "forty-nine million, one hundred twenty-two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 1133 1236 2266 3399 3613 4532 6798 7226 10839 13596 14452 21678 39743 43356 79486 119229 158972 238458 372139 476916 744278 1116417 1488556 2232834 4093529 4465668 8187058 12280587 16374116 24561174 49122348