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4149816 = 2331121429
BaseRepresentation
bin1111110101001000111000
321210211110220
433311020320
52030243231
6224540040
750162406
oct17651070
97724426
104149816
112384900
121481620
13b23b18
147a0476
1556e896
hex3f5238

4149816 has 48 divisors (see below), whose sum is σ = 11411400. Its totient is φ = 1256640.

The previous prime is 4149811. The next prime is 4149833. The reversal of 4149816 is 6189414.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4149811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2190 + ... + 3618.

Almost surely, 24149816 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 4149816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705700).

4149816 is an abundant number, since it is smaller than the sum of its proper divisors (7261584).

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

4149816 is a wasteful number, since it uses less digits than its factorization.

4149816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1445 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 4149816 is about 2037.1097172219. The cubic root of 4149816 is about 160.6976824894.

It can be divided in two parts, 41498 and 16, that added together give a palindrome (41514).

The spelling of 4149816 in words is "four million, one hundred forty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1429 1452 2858 2904 4287 5716 8574 11432 15719 17148 31438 34296 47157 62876 94314 125752 172909 188628 345818 377256 518727 691636 1037454 1383272 2074908 4149816