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4141872 = 243272587
BaseRepresentation
bin1111110011001100110000
321210102120200
433303030300
52030014442
6224435200
750130300
oct17631460
97712520
104141872
112379939
121478b00
13b20317
1479b600
1556c34c
hex3f3330

4141872 has 90 divisors (see below), whose sum is σ = 13506948. Its totient is φ = 1181376.

The previous prime is 4141871. The next prime is 4141877. The reversal of 4141872 is 2781414.

It is a nude number because it is divisible by every one of its digits.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (4141871) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6763 + ... + 7349.

Almost surely, 24141872 is an apocalyptic number.

4141872 is a gapful number since it is divisible by the number (42) 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 4141872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753474).

4141872 is an abundant number, since it is smaller than the sum of its proper divisors (9365076).

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

4141872 is a wasteful number, since it uses less digits than its factorization.

4141872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 599 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 4141872 is about 2035.1589618504. The cubic root of 4141872 is about 160.5950757035.

The spelling of 4141872 in words is "four million, one hundred forty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 587 588 784 882 1008 1174 1176 1761 1764 2348 2352 3522 3528 4109 4696 5283 7044 7056 8218 9392 10566 12327 14088 16436 21132 24654 28176 28763 32872 36981 42264 49308 57526 65744 73962 84528 86289 98616 115052 147924 172578 197232 230104 258867 295848 345156 460208 517734 591696 690312 1035468 1380624 2070936 4141872