Search a number
-
+
49009240 = 23571011733
BaseRepresentation
bin1011101011110…
…1001001011000
310102012221001001
42322331021120
5100021243430
64510234344
71133400040
oct272751130
9112187031
1049009240
1125734405
12144b59b4
13a1cc467
14671a720
1544813ca
hex2ebd258

49009240 has 64 divisors (see below), whose sum is σ = 127344960. Its totient is φ = 16627200.

The previous prime is 49009237. The next prime is 49009267. The reversal of 49009240 is 4290094.

49009240 = 26432 + 26442 + ... + 26492.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 49009199 and 49009208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27414 + ... + 29146.

It is an arithmetic number, because the mean of its divisors is an integer number (1989765).

Almost surely, 249009240 is an apocalyptic number.

49009240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49009240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63672480).

49009240 is an abundant number, since it is smaller than the sum of its proper divisors (78335720).

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

49009240 is a wasteful number, since it uses less digits than its factorization.

49009240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 49009240 is about 7000.6599688886. The cubic root of 49009240 is about 365.9535709068.

The spelling of 49009240 in words is "forty-nine million, nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1414 1733 2020 2828 3466 3535 4040 5656 6932 7070 8665 12131 13864 14140 17330 24262 28280 34660 48524 60655 69320 97048 121310 175033 242620 350066 485240 700132 875165 1225231 1400264 1750330 2450462 3500660 4900924 6126155 7001320 9801848 12252310 24504620 49009240