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63545742 = 23313131691
BaseRepresentation
bin1111001001101…
…0000110001110
311102120110101000
43302122012032
5112231430432
610150001130
71401062361
oct362320616
9142513330
1063545742
1132962947
12193461a6
131021bb40
1486220d8
1558a357c
hex3c9a18e

63545742 has 64 divisors (see below), whose sum is σ = 153457920. Its totient is φ = 19375200.

The previous prime is 63545723. The next prime is 63545743. The reversal of 63545742 is 24754536.

63545742 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 2×635457422 = 8076122652661128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (100800) is a multiple of the sum of its prime divisors (840).

It is a junction number, because it is equal to n+sod(n) for n = 63545697 and 63545706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63545743) 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 31 ways as a sum of consecutive naturals, for example, 91617 + ... + 92307.

It is an arithmetic number, because the mean of its divisors is an integer number (2397780).

Almost surely, 263545742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63545742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76728960).

63545742 is an abundant number, since it is smaller than the sum of its proper divisors (89912178).

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

63545742 is a wasteful number, since it uses less digits than its factorization.

63545742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 840 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 63545742 is about 7971.5583169165. The cubic root of 63545742 is about 399.0513812513.

The spelling of 63545742 in words is "sixty-three million, five hundred forty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 131 234 262 351 393 691 702 786 1179 1382 1703 2073 2358 3406 3537 4146 5109 6219 7074 8983 10218 12438 15327 17966 18657 26949 30654 37314 45981 53898 80847 90521 91962 161694 181042 242541 271563 485082 543126 814689 1176773 1629378 2353546 2444067 3530319 4888134 7060638 10590957 21181914 31772871 63545742