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49037040 = 2432513331
BaseRepresentation
bin1011101100001…
…1111011110000
310102021100011200
42323003323300
5100023141130
64511011200
71133544063
oct273037360
9112240150
1049037040
1125753288
1214509b00
13a20c000
1467268da
154489760
hex2ec3ef0

49037040 has 240 divisors, whose sum is σ = 184154880. Its totient is φ = 11681280.

The previous prime is 49037017. The next prime is 49037077. The reversal of 49037040 is 4073094.

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

It is a junction number, because it is equal to n+sod(n) for n = 49036995 and 49037013.

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, 1581825 + ... + 1581855.

It is an arithmetic number, because the mean of its divisors is an integer number (767312).

Almost surely, 249037040 is an apocalyptic number.

49037040 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 49037040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92077440).

49037040 is an abundant number, since it is smaller than the sum of its proper divisors (135117840).

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

49037040 is a wasteful number, since it uses less digits than its factorization.

49037040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 49037040 is about 7002.6452144886. The cubic root of 49037040 is about 366.0227523256.

The spelling of 49037040 in words is "forty-nine million, thirty-seven thousand, forty".