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4146012 = 2233132953
BaseRepresentation
bin1111110100001101011100
321210122021000
433310031130
52030133022
6224510300
750145333
oct17641534
97718230
104146012
112381a62
12147b390
13b22180
1479cd1a
1556d6ac
hex3f435c

4146012 has 48 divisors (see below), whose sum is σ = 11579680. Its totient is φ = 1275264.

The previous prime is 4146001. The next prime is 4146013. The reversal of 4146012 is 2106414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4146013) 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 15 ways as a sum of consecutive naturals, for example, 73 + ... + 2880.

Almost surely, 24146012 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 4146012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5789840).

4146012 is an abundant number, since it is smaller than the sum of its proper divisors (7433668).

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

4146012 is a wasteful number, since it uses less digits than its factorization.

4146012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4146012 is about 2036.1758273784. The cubic root of 4146012 is about 160.6485653828.

The spelling of 4146012 in words is "four million, one hundred forty-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 2953 5906 8859 11812 17718 26577 35436 38389 53154 76778 79731 106308 115167 153556 159462 230334 318924 345501 460668 691002 1036503 1382004 2073006 4146012