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48859380 = 223255212
BaseRepresentation
bin1011101001100…
…0100011110100
310101221022110200
42322120203310
5100002000010
64503120500
71132204113
oct272304364
9111838420
1048859380
1125641859
1214443130
13a17919b
1466bbc7a
154451cc0
hex2e988f4

48859380 has 54 divisors (see below), whose sum is σ = 148491798. Its totient is φ = 13004160.

The previous prime is 48859373. The next prime is 48859381. The reversal of 48859380 is 8395884.

48859380 is a `hidden beast` number, since 488 + 5 + 93 + 80 = 666.

48859380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 501264 + 48358116 = 708^2 + 6954^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48859381) 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 17 ways as a sum of consecutive naturals, for example, 93520 + ... + 94040.

Almost surely, 248859380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48859380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245899).

48859380 is an abundant number, since it is smaller than the sum of its proper divisors (99632418).

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

48859380 is a wasteful number, since it uses less digits than its factorization.

48859380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 48859380 is about 6989.9484976643. The cubic root of 48859380 is about 365.5801869249.

Multiplying 48859380 by its sum of digits (45), we get a square (2198672100 = 468902).

48859380 divided by its sum of digits (45) gives a square (1085764 = 10422).

The spelling of 48859380 in words is "forty-eight million, eight hundred fifty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 521 1042 1563 2084 2605 3126 4689 5210 6252 7815 9378 10420 15630 18756 23445 31260 46890 93780 271441 542882 814323 1085764 1357205 1628646 2442969 2714410 3257292 4071615 4885938 5428820 8143230 9771876 12214845 16286460 24429690 48859380