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48393540 = 223251320681
BaseRepresentation
bin1011100010011…
…0110101000100
310101001122110100
42320212311010
544342043130
64445124100
71125224016
oct270466504
9111048410
1048393540
1125353868
1214259630
13a045140
1465da1b6
1543adc60
hex2e26d44

48393540 has 72 divisors (see below), whose sum is σ = 158093208. Its totient is φ = 11911680.

The previous prime is 48393491. The next prime is 48393563. The reversal of 48393540 is 4539384.

It can be written as a sum of positive squares in 4 ways, for example, as 617796 + 47775744 = 786^2 + 6912^2 .

It is a super-4 number, since 4×483935404 (a number of 32 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48393495 and 48393504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8001 + ... + 12680.

It is an arithmetic number, because the mean of its divisors is an integer number (2195739).

Almost surely, 248393540 is an apocalyptic number.

It is an amenable number.

48393540 is an abundant number, since it is smaller than the sum of its proper divisors (109699668).

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

48393540 is a wasteful number, since it uses less digits than its factorization.

48393540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20709 (or 20704 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 48393540 is about 6956.5465570209. The cubic root of 48393540 is about 364.4146243392.

The spelling of 48393540 in words is "forty-eight million, three hundred ninety-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 20681 41362 62043 82724 103405 124086 186129 206810 248172 268853 310215 372258 413620 537706 620430 744516 806559 930645 1075412 1240860 1344265 1613118 1861290 2419677 2688530 3226236 3722580 4032795 4839354 5377060 8065590 9678708 12098385 16131180 24196770 48393540