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4041900 = 223452499
BaseRepresentation
bin1111011010110010101100
321121100110000
433122302230
52013320100
6222344300
746232652
oct17326254
97540400
104041900
112310815
12142b090
13ab6975
14772dd2
1554c900
hex3dacac

4041900 has 90 divisors (see below), whose sum is σ = 13128500. Its totient is φ = 1075680.

The previous prime is 4041899. The next prime is 4041907. The reversal of 4041900 is 91404.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×40419002 = 32673911220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4041907) 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 29 ways as a sum of consecutive naturals, for example, 7851 + ... + 8349.

Almost surely, 24041900 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 4041900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6564250).

4041900 is an abundant number, since it is smaller than the sum of its proper divisors (9086600).

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

4041900 is a wasteful number, since it uses less digits than its factorization.

4041900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4041900 is about 2010.4477113320. The cubic root of 4041900 is about 159.2924485977.

It can be divided in two parts, 404 and 1900, that added together give a square (2304 = 482).

The spelling of 4041900 in words is "four million, forty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 499 540 675 810 900 998 1350 1497 1620 1996 2025 2495 2700 2994 4050 4491 4990 5988 7485 8100 8982 9980 12475 13473 14970 17964 22455 24950 26946 29940 37425 40419 44910 49900 53892 67365 74850 80838 89820 112275 134730 149700 161676 202095 224550 269460 336825 404190 449100 673650 808380 1010475 1347300 2020950 4041900