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4835808 = 253329193
BaseRepresentation
bin10010011100100111100000
3100002200111000
4102130213200
52214221213
6251352000
756050365
oct22344740
910080430
104835808
11280323a
121752600
131004133
148dc46c
15657c73
hex49c9e0

4835808 has 96 divisors (see below), whose sum is σ = 14666400. Its totient is φ = 1548288.

The previous prime is 4835807. The next prime is 4835821. The reversal of 4835808 is 8085384.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4835801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24960 + ... + 25152.

It is an arithmetic number, because the mean of its divisors is an integer number (152775).

Almost surely, 24835808 is an apocalyptic number.

4835808 is a gapful number since it is divisible by the number (48) 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 4835808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7333200).

4835808 is an abundant number, since it is smaller than the sum of its proper divisors (9830592).

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

4835808 is a wasteful number, since it uses less digits than its factorization.

4835808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4835808 is about 2199.0470663449. The cubic root of 4835808 is about 169.1049614658.

The spelling of 4835808 in words is "four million, eight hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 193 216 232 261 288 348 386 432 464 522 579 696 772 783 864 928 1044 1158 1392 1544 1566 1737 2088 2316 2784 3088 3132 3474 4176 4632 5211 5597 6176 6264 6948 8352 9264 10422 11194 12528 13896 16791 18528 20844 22388 25056 27792 33582 41688 44776 50373 55584 67164 83376 89552 100746 134328 151119 166752 179104 201492 268656 302238 402984 537312 604476 805968 1208952 1611936 2417904 4835808