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4840416 = 253275
BaseRepresentation
bin10010011101101111100000
3100002220210200
4102131233200
52214343131
6251425200
756100000
oct22355740
910086720
104840416
112806749
121755200
131006269
14900000
156592e6
hex49dbe0

4840416 has 108 divisors (see below), whose sum is σ = 16058952. Its totient is φ = 1382976.

The previous prime is 4840399. The next prime is 4840417. The reversal of 4840416 is 6140484.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4840416 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48404163 (a number of 21 digits) contains 333 as substring.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 4840416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4840417) 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, 691485 + ... + 691491.

It is an arithmetic number, because the mean of its divisors is an integer number (148694).

Almost surely, 24840416 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 4840416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8029476).

4840416 is an abundant number, since it is smaller than the sum of its proper divisors (11218536).

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

4840416 is an frugal number, since it uses more digits than its factorization.

4840416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4840416 is about 2200.0945434231. The cubic root of 4840416 is about 169.1586573034.

Multiplying 4840416 by its sum of digits (27), we get a 5-th power (130691232 = 425).

The spelling of 4840416 in words is "four million, eight hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 343 392 441 504 588 672 686 784 882 1008 1029 1176 1372 1568 1764 2016 2058 2352 2401 2744 3087 3528 4116 4704 4802 5488 6174 7056 7203 8232 9604 10976 12348 14112 14406 16464 16807 19208 21609 24696 28812 32928 33614 38416 43218 49392 50421 57624 67228 76832 86436 98784 100842 115248 134456 151263 172872 201684 230496 268912 302526 345744 403368 537824 605052 691488 806736 1210104 1613472 2420208 4840416