Search a number
-
+
49000968 = 2332680569
BaseRepresentation
bin1011101011101…
…1001000001000
310102012111200200
42322323020020
5100021012333
64510132200
71133333652
oct272731010
9112174620
1049000968
1125729175
12144b1060
13a1c8773
1467176d2
15447dc13
hex2ebb208

49000968 has 24 divisors (see below), whose sum is σ = 132711150. Its totient is φ = 16333632.

The previous prime is 49000967. The next prime is 49000993. The reversal of 49000968 is 86900094.

It can be written as a sum of positive squares in only one way, i.e., 32695524 + 16305444 = 5718^2 + 4038^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (49000967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 340213 + ... + 340356.

Almost surely, 249000968 is an apocalyptic number.

It is an amenable number.

49000968 is an abundant number, since it is smaller than the sum of its proper divisors (83710182).

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

49000968 is a wasteful number, since it uses less digits than its factorization.

49000968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680581 (or 680574 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 49000968 is about 7000.0691425157. The cubic root of 49000968 is about 365.9329806517.

The spelling of 49000968 in words is "forty-nine million, nine hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 680569 1361138 2041707 2722276 4083414 5444552 6125121 8166828 12250242 16333656 24500484 49000968