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4041376 = 251721923
BaseRepresentation
bin1111011010101010100000
321121022201121
433122222200
52013311001
6222342024
746231303
oct17325240
97538647
104041376
112310389
12142a914
13ab6661
14772b3a
1554c6a1
hex3daaa0

4041376 has 72 divisors (see below), whose sum is σ = 9283680. Its totient is φ = 1723392.

The previous prime is 4041371. The next prime is 4041379. The reversal of 4041376 is 6731404.

4041376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4041376.

It is not an unprimeable number, because it can be changed into a prime (4041371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175701 + ... + 175723.

It is an arithmetic number, because the mean of its divisors is an integer number (128940).

Almost surely, 24041376 is an apocalyptic number.

4041376 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4041376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641840).

4041376 is an abundant number, since it is smaller than the sum of its proper divisors (5242304).

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

4041376 is a wasteful number, since it uses less digits than its factorization.

4041376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 4041376 is about 2010.3173878768. The cubic root of 4041376 is about 159.2855646364.

The spelling of 4041376 in words is "four million, forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 19 23 32 34 38 46 68 76 92 136 152 184 272 289 304 323 368 391 437 544 578 608 646 736 782 874 1156 1292 1564 1748 2312 2584 3128 3496 4624 5168 5491 6256 6647 6992 7429 9248 10336 10982 12512 13294 13984 14858 21964 26588 29716 43928 53176 59432 87856 106352 118864 126293 175712 212704 237728 252586 505172 1010344 2020688 4041376