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48015540 = 22325614373
BaseRepresentation
bin1011011100101…
…0100010110100
310100100102221100
42313022202310
544242444130
64433050100
71122060666
oct267124264
9110312840
1048015540
1125115871
12140b6930
139c42081
14653c536
154336c60
hex2dca8b4

48015540 has 72 divisors (see below), whose sum is σ = 148068648. Its totient is φ = 12591360.

The previous prime is 48015511. The next prime is 48015571. The reversal of 48015540 is 4551084.

48015540 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 4 ways, for example, as 156816 + 47858724 = 396^2 + 6918^2 .

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 23 ways as a sum of consecutive naturals, for example, 8794 + ... + 13166.

It is an arithmetic number, because the mean of its divisors is an integer number (2056509).

Almost surely, 248015540 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 48015540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74034324).

48015540 is an abundant number, since it is smaller than the sum of its proper divisors (100053108).

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

48015540 is a wasteful number, since it uses less digits than its factorization.

48015540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 48015540 is about 6929.3246424165. The cubic root of 48015540 is about 363.4633338542.

The spelling of 48015540 in words is "forty-eight million, fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 4373 5490 8746 10980 13119 17492 21865 26238 39357 43730 52476 65595 78714 87460 131190 157428 196785 262380 266753 393570 533506 787140 800259 1067012 1333765 1600518 2400777 2667530 3201036 4001295 4801554 5335060 8002590 9603108 12003885 16005180 24007770 48015540