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4145526 = 233711997
BaseRepresentation
bin1111110100000101110110
321210121121000
433310011312
52030124101
6224504130
750144040
oct17640566
97717530
104145526
112381660
12147b046
13b21b98
1479ca90
1556d486
hex3f4176

4145526 has 64 divisors (see below), whose sum is σ = 11496960. Its totient is φ = 1075680.

The previous prime is 4145509. The next prime is 4145527. The reversal of 4145526 is 6255414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4145526.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145527) 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, 3660 + ... + 4656.

It is an arithmetic number, because the mean of its divisors is an integer number (179640).

Almost surely, 24145526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4145526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748480).

4145526 is an abundant number, since it is smaller than the sum of its proper divisors (7351434).

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

4145526 is a wasteful number, since it uses less digits than its factorization.

4145526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1020 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 4145526 is about 2036.0564825171. The cubic root of 4145526 is about 160.6422880048.

It can be divided in two parts, 4 and 145526, that added together give a triangular number (145530 = T539).

The spelling of 4145526 in words is "four million, one hundred forty-five thousand, five hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 997 1386 1994 2079 2991 4158 5982 6979 8973 10967 13958 17946 20937 21934 26919 32901 41874 53838 62811 65802 76769 98703 125622 153538 188433 197406 230307 296109 376866 460614 592218 690921 1381842 2072763 4145526