Search a number
-
+
49030800 = 24352713449
BaseRepresentation
bin1011101100001…
…0011010010000
310102021000121120
42323002122100
5100022441200
64510522240
71133516640
oct273023220
9112230546
1049030800
1125749625
1214506380
13a209210
146724520
1544879a0
hex2ec2690

49030800 has 240 divisors, whose sum is σ = 193737600. Its totient is φ = 10321920.

The previous prime is 49030799. The next prime is 49030819. The reversal of 49030800 is 803094.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 108976 + ... + 109424.

It is an arithmetic number, because the mean of its divisors is an integer number (807240).

Almost surely, 249030800 is an apocalyptic number.

49030800 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 49030800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96868800).

49030800 is an abundant number, since it is smaller than the sum of its proper divisors (144706800).

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

49030800 is a wasteful number, since it uses less digits than its factorization.

49030800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 49030800 is about 7002.1996543943. The cubic root of 49030800 is about 366.0072261107.

Adding to 49030800 its reverse (803094), we get a palindrome (49833894).

The spelling of 49030800 in words is "forty-nine million, thirty thousand, eight hundred".