Search a number
-
+
48073760 = 255742923
BaseRepresentation
bin1011011101100…
…0110000100000
310100110101210122
42313120300200
544301330020
64434215412
71122422510
oct267306040
9110411718
1048073760
1125155589
1214124568
139c62717
146555840
154349125
hex2dd8c20

48073760 has 48 divisors (see below), whose sum is σ = 129802176. Its totient is φ = 16482048.

The previous prime is 48073757. The next prime is 48073783. The reversal of 48073760 is 6737084.

It is a super-3 number, since 3×480737603 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 48073760.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20342 + ... + 22581.

It is an arithmetic number, because the mean of its divisors is an integer number (2704212).

Almost surely, 248073760 is an apocalyptic number.

48073760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48073760 is an abundant number, since it is smaller than the sum of its proper divisors (81728416).

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

48073760 is a wasteful number, since it uses less digits than its factorization.

48073760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42945 (or 42937 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 48073760 is about 6933.5243563429. The cubic root of 48073760 is about 363.6101772052.

The spelling of 48073760 in words is "forty-eight million, seventy-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 42923 85846 171692 214615 300461 343384 429230 600922 686768 858460 1201844 1373536 1502305 1716920 2403688 3004610 3433840 4807376 6009220 6867680 9614752 12018440 24036880 48073760