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60254768 = 2472392251
BaseRepresentation
bin1110010111011…
…0101000110000
311012101021000002
43211312220300
5110411123033
65551245132
71331104610
oct345665060
9135337002
1060254768
1131015332
12182197a8
13c638c12
148006a40
1554533e8
hex3976a30

60254768 has 40 divisors (see below), whose sum is σ = 134039040. Its totient is φ = 25704000.

The previous prime is 60254767. The next prime is 60254771. The reversal of 60254768 is 86745206.

It is a happy number.

60254768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (60254767) 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, 25643 + ... + 27893.

It is an arithmetic number, because the mean of its divisors is an integer number (3350976).

Almost surely, 260254768 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 60254768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67019520).

60254768 is an abundant number, since it is smaller than the sum of its proper divisors (73784272).

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

60254768 is a wasteful number, since it uses less digits than its factorization.

60254768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 60254768 is about 7762.3944759333. The cubic root of 60254768 is about 392.0400833648.

The spelling of 60254768 in words is "sixty million, two hundred fifty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 239 478 956 1673 1912 2251 3346 3824 4502 6692 9004 13384 15757 18008 26768 31514 36016 63028 126056 252112 537989 1075978 2151956 3765923 4303912 7531846 8607824 15063692 30127384 60254768