Search a number
-
+
49387360 = 2551122551
BaseRepresentation
bin1011110001100…
…1011101100000
310102221010201111
42330121131200
5100120343420
64522313104
71136533321
oct274313540
9112833644
1049387360
1125972500
1214658794
13a3025b9
1467b8448
15450845a
hex2f19760

49387360 has 72 divisors (see below), whose sum is σ = 128299248. Its totient is φ = 17952000.

The previous prime is 49387357. The next prime is 49387381. The reversal of 49387360 is 6378394.

49387360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×493873602 = 4878222655539200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18085 + ... + 20635.

It is an arithmetic number, because the mean of its divisors is an integer number (1781934).

Almost surely, 249387360 is an apocalyptic number.

49387360 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 49387360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64149624).

49387360 is an abundant number, since it is smaller than the sum of its proper divisors (78911888).

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

49387360 is a wasteful number, since it uses less digits than its factorization.

49387360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 49387360 is about 7027.6141043743. The cubic root of 49387360 is about 366.8923055626.

The spelling of 49387360 in words is "forty-nine million, three hundred eighty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 2551 3872 4840 5102 9680 10204 12755 19360 20408 25510 28061 40816 51020 56122 81632 102040 112244 140305 204080 224488 280610 308671 408160 448976 561220 617342 897952 1122440 1234684 1543355 2244880 2469368 3086710 4489760 4938736 6173420 9877472 12346840 24693680 49387360