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48342768 = 2432934729
BaseRepresentation
bin1011100001101…
…0011011110000
310100222001210220
42320122123300
544333432033
64444053040
71124623005
oct270323360
9110861726
1048342768
1125319701
1214234180
13a027cb6
1465c58ac
15439dbb3
hex2e1a6f0

48342768 has 40 divisors (see below), whose sum is σ = 129195600. Its totient is φ = 15558144.

The previous prime is 48342761. The next prime is 48342829. The reversal of 48342768 is 86724384.

48342768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48342761) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15973 + ... + 18756.

It is an arithmetic number, because the mean of its divisors is an integer number (3229890).

Almost surely, 248342768 is an apocalyptic number.

48342768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48342768 is an abundant number, since it is smaller than the sum of its proper divisors (80852832).

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

48342768 is a wasteful number, since it uses less digits than its factorization.

48342768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34769 (or 34763 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 48342768 is about 6952.8963748930. The cubic root of 48342768 is about 364.2871380842.

The spelling of 48342768 in words is "forty-eight million, three hundred forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 34729 69458 104187 138916 208374 277832 416748 555664 833496 1007141 1666992 2014282 3021423 4028564 6042846 8057128 12085692 16114256 24171384 48342768