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60535328 = 257535099
BaseRepresentation
bin1110011011101…
…1001000100000
311012220111212012
43212323020200
5110444112303
610001252052
71333353560
oct346731040
9135814765
1060535328
11311970a7
1218334028
13c706829
14807ada0
1554ab5d8
hex39bb220

60535328 has 48 divisors (see below), whose sum is σ = 138801600. Its totient is φ = 25449216.

The previous prime is 60535327. The next prime is 60535331. The reversal of 60535328 is 82353506.

It is a super-4 number, since 4×605353284 (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 60535294 and 60535303.

It is not an unprimeable number, because it can be changed into a prime (60535327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9323 + ... + 14421.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 260535328 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 60535328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69400800).

60535328 is an abundant number, since it is smaller than the sum of its proper divisors (78266272).

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

60535328 is a wasteful number, since it uses less digits than its factorization.

60535328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5169 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 60535328 is about 7780.4452314762. The cubic root of 60535328 is about 392.6476175379.

The spelling of 60535328 in words is "sixty million, five hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 2968 5099 5936 10198 11872 20396 35693 40792 71386 81584 142772 163168 270247 285544 540494 571088 1080988 1142176 1891729 2161976 3783458 4323952 7566916 8647904 15133832 30267664 60535328