Search a number
-
+
49113090 = 23251323229
BaseRepresentation
bin1011101101011…
…0100000000010
310102102012111100
42323112200002
5100033104330
64512355230
71134311565
oct273264002
9112365440
1049113090
11257a5434
1214545b16
13a237800
1467464dc
1544a2060
hex2ed6802

49113090 has 72 divisors (see below), whose sum is σ = 138315060. Its totient is φ = 12085632.

The previous prime is 49113089. The next prime is 49113091. The reversal of 49113090 is 9031194.

It is an interprime number because it is at equal distance from previous prime (49113089) and next prime (49113091).

It can be written as a sum of positive squares in 6 ways, for example, as 2368521 + 46744569 = 1539^2 + 6837^2 .

It is not an unprimeable number, because it can be changed into a prime (49113091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13596 + ... + 16824.

Almost surely, 249113090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49113090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69157530).

49113090 is an abundant number, since it is smaller than the sum of its proper divisors (89201970).

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

49113090 is a wasteful number, since it uses less digits than its factorization.

49113090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 49113090 is about 7008.0732016725. The cubic root of 49113090 is about 366.2118723098.

It can be divided in two parts, 4911 and 3090, that added together give a triangular number (8001 = T126).

The spelling of 49113090 in words is "forty-nine million, one hundred thirteen thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 3229 5070 6458 7605 9687 15210 16145 19374 29061 32290 41977 48435 58122 83954 96870 125931 145305 209885 251862 290610 377793 419770 545701 629655 755586 1091402 1259310 1637103 1888965 2728505 3274206 3777930 4911309 5457010 8185515 9822618 16371030 24556545 49113090