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4114488 = 2337191289
BaseRepresentation
bin1111101100100000111000
321202001000110
433230200320
52023130423
6224104320
746654410
oct17544070
97661013
104114488
112360304
1214650a0
13b10a11
14791640
15564193
hex3ec838

4114488 has 64 divisors (see below), whose sum is σ = 12384000. Its totient is φ = 1112832.

The previous prime is 4114477. The next prime is 4114489. The reversal of 4114488 is 8844114.

4114488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×41144885 (a number of 34 digits) contains 55555 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114489) 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 15 ways as a sum of consecutive naturals, for example, 2548 + ... + 3836.

It is an arithmetic number, because the mean of its divisors is an integer number (193500).

Almost surely, 24114488 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 4114488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6192000).

4114488 is an abundant number, since it is smaller than the sum of its proper divisors (8269512).

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

4114488 is a wasteful number, since it uses less digits than its factorization.

4114488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1320 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 4114488 is about 2028.4200748366. The cubic root of 4114488 is about 160.2403678813.

The spelling of 4114488 in words is "four million, one hundred fourteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1289 1596 2578 3192 3867 5156 7734 9023 10312 15468 18046 24491 27069 30936 36092 48982 54138 72184 73473 97964 108276 146946 171437 195928 216552 293892 342874 514311 587784 685748 1028622 1371496 2057244 4114488