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4890648 = 233743677
BaseRepresentation
bin10010101010000000011000
3100012110201010
4102222000120
52223000043
6252453520
756366310
oct22520030
910173633
104890648
112840464
12177a2a0
131023099
14914440
15669133
hex4aa018

4890648 has 64 divisors (see below), whose sum is σ = 14319360. Its totient is φ = 1362816.

The previous prime is 4890637. The next prime is 4890659. The reversal of 4890648 is 8460984.

It is an interprime number because it is at equal distance from previous prime (4890637) and next prime (4890659).

It is a super-3 number, since 3×48906483 (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6886 + ... + 7562.

It is an arithmetic number, because the mean of its divisors is an integer number (223740).

Almost surely, 24890648 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 4890648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7159680).

4890648 is an abundant number, since it is smaller than the sum of its proper divisors (9428712).

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

4890648 is a wasteful number, since it uses less digits than its factorization.

4890648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 4890648 is about 2211.4809517606. The cubic root of 4890648 is about 169.7417995016.

The spelling of 4890648 in words is "four million, eight hundred ninety thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 677 903 1032 1204 1354 1806 2031 2408 2708 3612 4062 4739 5416 7224 8124 9478 14217 16248 18956 28434 29111 37912 56868 58222 87333 113736 116444 174666 203777 232888 349332 407554 611331 698664 815108 1222662 1630216 2445324 4890648