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60506992 = 24713291433
BaseRepresentation
bin1110011011010…
…0001101110000
311012212001222201
43212310031300
5110442210432
610000512544
71333205140
oct346641560
9135761881
1060506992
1131177887
121831b754
13c6c6970
148070920
1554a2ee7
hex39b4370

60506992 has 80 divisors (see below), whose sum is σ = 149365440. Its totient is φ = 23095296.

The previous prime is 60506989. The next prime is 60507011. The reversal of 60506992 is 29960506.

It is a happy number.

60506992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×605069922 = 7322192161776128, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 41508 + ... + 42940.

It is an arithmetic number, because the mean of its divisors is an integer number (1867068).

Almost surely, 260506992 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 60506992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74682720).

60506992 is an abundant number, since it is smaller than the sum of its proper divisors (88858448).

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

60506992 is a wasteful number, since it uses less digits than its factorization.

60506992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 60506992 is about 7778.6240428497. The cubic root of 60506992 is about 392.5863431289.

The spelling of 60506992 in words is "sixty million, five hundred six thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 52 56 58 91 104 112 116 182 203 208 232 364 377 406 464 728 754 812 1433 1456 1508 1624 2639 2866 3016 3248 5278 5732 6032 10031 10556 11464 18629 20062 21112 22928 37258 40124 41557 42224 74516 80248 83114 130403 149032 160496 166228 260806 290899 298064 332456 521612 540241 581798 664912 1043224 1080482 1163596 2086448 2160964 2327192 3781687 4321928 4654384 7563374 8643856 15126748 30253496 60506992