Search a number
-
+
49348260 = 223251321089
BaseRepresentation
bin1011110000111…
…1111010100100
310102212011002100
42330033322210
5100113121020
64521412100
71136311323
oct274177244
9112764070
1049348260
1125946095
121463a030
13a2ba870
1467a80ba
1544eba90
hex2f0fea4

49348260 has 72 divisors (see below), whose sum is σ = 161211960. Its totient is φ = 12146688.

The previous prime is 49348259. The next prime is 49348267. The reversal of 49348260 is 6284394.

49348260 = T345 + T346 + ... + T695.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9884736 + 39463524 = 3144^2 + 6282^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49348267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8205 + ... + 12884.

It is an arithmetic number, because the mean of its divisors is an integer number (2239055).

Almost surely, 249348260 is an apocalyptic number.

It is an amenable number.

49348260 is an abundant number, since it is smaller than the sum of its proper divisors (111863700).

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

49348260 is a wasteful number, since it uses less digits than its factorization.

49348260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21117 (or 21112 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 49348260 is about 7024.8316705812. The cubic root of 49348260 is about 366.7954570532.

The spelling of 49348260 in words is "forty-nine million, three hundred forty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 21089 42178 63267 84356 105445 126534 189801 210890 253068 274157 316335 379602 421780 548314 632670 759204 822471 949005 1096628 1265340 1370785 1644942 1898010 2467413 2741570 3289884 3796020 4112355 4934826 5483140 8224710 9869652 12337065 16449420 24674130 49348260