Search a number
-
+
49321440 = 2533572233
BaseRepresentation
bin1011110000100…
…1010111100000
310102210210022000
42330021113200
5100111241230
64521044000
71136140200
oct274112740
9112723260
1049321440
1125927a23
1214626600
13a2ab5ac
14679c400
1544e3b60
hex2f095e0

49321440 has 288 divisors, whose sum is σ = 201670560. Its totient is φ = 11225088.

The previous prime is 49321439. The next prime is 49321451. The reversal of 49321440 is 4412394.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211564 + ... + 211796.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 249321440 is an apocalyptic number.

49321440 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 49321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100835280).

49321440 is an abundant number, since it is smaller than the sum of its proper divisors (152349120).

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

49321440 is a wasteful number, since it uses less digits than its factorization.

49321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 49321440 is about 7022.9224686024. The cubic root of 49321440 is about 366.7289958321.

It can be divided in two parts, 49 and 321440, that added together give a square (321489 = 5672).

The spelling of 49321440 in words is "forty-nine million, three hundred twenty-one thousand, four hundred forty".