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48257550 = 23252119749
BaseRepresentation
bin1011100000010…
…1101000001110
310100210201220200
42320011220032
544323220200
64442154330
71124116365
oct270055016
9110721820
1048257550
1125270680
12141b29a6
139cc8283
1465a27dc
154383800
hex2e05a0e

48257550 has 72 divisors (see below), whose sum is σ = 141453000. Its totient is φ = 11697600.

The previous prime is 48257513. The next prime is 48257551. The reversal of 48257550 is 5575284.

It is a happy number.

48257550 is a `hidden beast` number, since 4 + 82 + 575 + 5 + 0 = 666.

It is a super-2 number, since 2×482575502 = 4657582264005000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48257551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76 + ... + 9824.

It is an arithmetic number, because the mean of its divisors is an integer number (1964625).

Almost surely, 248257550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48257550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70726500).

48257550 is an abundant number, since it is smaller than the sum of its proper divisors (93195450).

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

48257550 is a wasteful number, since it uses less digits than its factorization.

48257550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778 (or 9770 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 48257550 is about 6946.7654343586. The cubic root of 48257550 is about 364.0729586476.

The spelling of 48257550 in words is "forty-eight million, two hundred fifty-seven thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 9749 19498 29247 48745 58494 87741 97490 107239 146235 175482 214478 243725 292470 321717 438705 487450 536195 643434 731175 877410 965151 1072390 1462350 1608585 1930302 2193525 2680975 3217170 4387050 4825755 5361950 8042925 9651510 16085850 24128775 48257550