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60801248 = 2517111767
BaseRepresentation
bin1110011111110…
…0000011100000
311020102000122002
43213330003200
5111031114443
610011103132
71335542054
oct347740340
9136360562
1060801248
1131358972
1218441aa8
13c79a891
148109c64
1555102b8
hex39fc0e0

60801248 has 24 divisors (see below), whose sum is σ = 126744912. Its totient is φ = 28612096.

The previous prime is 60801239. The next prime is 60801271. The reversal of 60801248 is 84210806.

60801248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 60801248.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 55340 + ... + 56427.

It is an arithmetic number, because the mean of its divisors is an integer number (5281038).

Almost surely, 260801248 is an apocalyptic number.

60801248 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

60801248 is an abundant number, since it is smaller than the sum of its proper divisors (65943664).

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

60801248 is a wasteful number, since it uses less digits than its factorization.

60801248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111794 (or 111786 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 60801248 is about 7797.5155017480. The cubic root of 60801248 is about 393.2217194242.

The spelling of 60801248 in words is "sixty million, eight hundred one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 111767 223534 447068 894136 1788272 1900039 3576544 3800078 7600156 15200312 30400624 60801248