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60321248 = 2513373919
BaseRepresentation
bin1110011000011…
…0110111100000
311012111122012022
43212012313200
5110420234443
65552521012
71331502461
oct346066740
9135448168
1060321248
1131060279
1218250168
13c660260
148022d68
155467e68
hex3986de0

60321248 has 48 divisors (see below), whose sum is σ = 131382720. Its totient is φ = 27081216.

The previous prime is 60321199. The next prime is 60321271. The reversal of 60321248 is 84212306.

60321248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 7 ways as a sum of consecutive naturals, for example, 13433 + ... + 17351.

It is an arithmetic number, because the mean of its divisors is an integer number (2737140).

Almost surely, 260321248 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 60321248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65691360).

60321248 is an abundant number, since it is smaller than the sum of its proper divisors (71061472).

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

60321248 is a wasteful number, since it uses less digits than its factorization.

60321248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 60321248 is about 7766.6754792511. The cubic root of 60321248 is about 392.1842116294.

The spelling of 60321248 in words is "sixty million, three hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1184 1924 3848 3919 7696 7838 15392 15676 31352 50947 62704 101894 125408 145003 203788 290006 407576 580012 815152 1160024 1630304 1885039 2320048 3770078 4640096 7540156 15080312 30160624 60321248