Search a number
-
+
49357440 = 27325111941
BaseRepresentation
bin1011110001001…
…0001010000000
310102212121200100
42330102022000
5100113414230
64521522400
71136350146
oct274221200
9112777610
1049357440
1125951a80
1214643400
13a2c1ab2
1467ab596
1544ee660
hex2f12280

49357440 has 384 divisors, whose sum is σ = 200491200. Its totient is φ = 11059200.

The previous prime is 49357411. The next prime is 49357457. The reversal of 49357440 is 4475394.

49357440 is a `hidden beast` number, since 49 + 3 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 49357395 and 49357404.

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, 1203820 + ... + 1203860.

Almost surely, 249357440 is an apocalyptic number.

49357440 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 49357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100245600).

49357440 is an abundant number, since it is smaller than the sum of its proper divisors (151133760).

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

49357440 is a wasteful number, since it uses less digits than its factorization.

49357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 49357440 is about 7025.4850366363. The cubic root of 49357440 is about 366.8181999930.

The spelling of 49357440 in words is "forty-nine million, three hundred fifty-seven thousand, four hundred forty".