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49821520 = 2457432069
BaseRepresentation
bin1011111000001…
…1011101010000
310110202012021111
42332003131100
5100223242040
64535503104
71143322150
oct276033520
9113665244
1049821520
1126139711
1214827a94
13a4250b8
14688c760
154591dea
hex2f83750

49821520 has 80 divisors (see below), whose sum is σ = 135527040. Its totient is φ = 16676352.

The previous prime is 49821511. The next prime is 49821521. The reversal of 49821520 is 2512894.

49821520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×498215202 = 4964367710220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49821521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23046 + ... + 25114.

It is an arithmetic number, because the mean of its divisors is an integer number (1694088).

Almost surely, 249821520 is an apocalyptic number.

49821520 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 49821520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67763520).

49821520 is an abundant number, since it is smaller than the sum of its proper divisors (85705520).

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

49821520 is a wasteful number, since it uses less digits than its factorization.

49821520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 49821520 is about 7058.4360874063. The cubic root of 49821520 is about 367.9642766205.

The spelling of 49821520 in words is "forty-nine million, eight hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 1204 1505 1720 2069 2408 3010 3440 4138 4816 6020 8276 10345 12040 14483 16552 20690 24080 28966 33104 41380 57932 72415 82760 88967 115864 144830 165520 177934 231728 289660 355868 444835 579320 622769 711736 889670 1158640 1245538 1423472 1779340 2491076 3113845 3558680 4982152 6227690 7117360 9964304 12455380 24910760 49821520