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48663540 = 22325535101
BaseRepresentation
bin1011100110100…
…0101111110100
310101120100211100
42321220233310
544424213130
64455010100
71130430132
oct271505764
9111510740
1048663540
1125518702
1214369930
13a10acc3
14666a752
154413c60
hex2e68bf4

48663540 has 72 divisors (see below), whose sum is σ = 150427368. Its totient is φ = 12729600.

The previous prime is 48663533. The next prime is 48663551. The reversal of 48663540 is 4536684.

It can be written as a sum of positive squares in 4 ways, for example, as 138384 + 48525156 = 372^2 + 6966^2 .

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 = 48663495 and 48663504.

It is a congruent number.

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, 6990 + ... + 12090.

It is an arithmetic number, because the mean of its divisors is an integer number (2089269).

Almost surely, 248663540 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 48663540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75213684).

48663540 is an abundant number, since it is smaller than the sum of its proper divisors (101763828).

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

48663540 is a wasteful number, since it uses less digits than its factorization.

48663540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 48663540 is about 6975.9257450176. The cubic root of 48663540 is about 365.0910887943.

The spelling of 48663540 in words is "forty-eight million, six hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 5101 9540 10202 15303 20404 25505 30606 45909 51010 61212 76515 91818 102020 153030 183636 229545 270353 306060 459090 540706 811059 918180 1081412 1351765 1622118 2433177 2703530 3244236 4055295 4866354 5407060 8110590 9732708 12165885 16221180 24331770 48663540