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4835040 = 253571439
BaseRepresentation
bin10010011100011011100000
3100002122102120
4102130123200
52214210130
6251344240
756045220
oct22343340
910078376
104835040
112802701
121752080
131003992
148dc080
15657910
hex49c6e0

4835040 has 96 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 1104384.

The previous prime is 4835027. The next prime is 4835057. The reversal of 4835040 is 405384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×48350402 = 46755223603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4835040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2641 + ... + 4079.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 24835040 is an apocalyptic number.

4835040 is a gapful number since it is divisible by the number (40) 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 4835040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

4835040 is an abundant number, since it is smaller than the sum of its proper divisors (12583200).

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

4835040 is a wasteful number, since it uses less digits than its factorization.

4835040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4835040 is about 2198.8724383192. The cubic root of 4835040 is about 169.0960088436.

The spelling of 4835040 in words is "four million, eight hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1439 1680 2878 3360 4317 5756 7195 8634 10073 11512 14390 17268 20146 21585 23024 28780 30219 34536 40292 43170 46048 50365 57560 60438 69072 80584 86340 100730 115120 120876 138144 151095 161168 172680 201460 230240 241752 302190 322336 345360 402920 483504 604380 690720 805840 967008 1208760 1611680 2417520 4835040