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48063792 = 2437532699
BaseRepresentation
bin1011011101011…
…0010100110000
310100102220010110
42313112110300
544301020132
64434101320
71122351450
oct267262460
9110386113
1048063792
1125149047
121411a840
139c5b01a
146551d60
1543461cc
hex2dd6530

48063792 has 80 divisors (see below), whose sum is σ = 144633600. Its totient is φ = 13468416.

The previous prime is 48063781. The next prime is 48063833. The reversal of 48063792 is 29736084.

48063792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480637923 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48063792.

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 15 ways as a sum of consecutive naturals, for example, 16459 + ... + 19157.

It is an arithmetic number, because the mean of its divisors is an integer number (1807920).

Almost surely, 248063792 is an apocalyptic number.

48063792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48063792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72316800).

48063792 is an abundant number, since it is smaller than the sum of its proper divisors (96569808).

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

48063792 is a wasteful number, since it uses less digits than its factorization.

48063792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 48063792 is about 6932.8054927280. The cubic root of 48063792 is about 363.5850441819.

The spelling of 48063792 in words is "forty-eight million, sixty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 2226 2544 2699 2968 4452 5398 5936 8097 8904 10796 16194 17808 18893 21592 32388 37786 43184 56679 64776 75572 113358 129552 143047 151144 226716 286094 302288 429141 453432 572188 858282 906864 1001329 1144376 1716564 2002658 2288752 3003987 3433128 4005316 6007974 6866256 8010632 12015948 16021264 24031896 48063792