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4890640 = 245113541
BaseRepresentation
bin10010101010000000010000
3100012110200211
4102222000100
52223000030
6252453504
756366266
oct22520020
910173624
104890640
112840457
12177a294
131023091
14914436
1566912a
hex4aa010

4890640 has 40 divisors (see below), whose sum is σ = 11492568. Its totient is φ = 1935360.

The previous prime is 4890637. The next prime is 4890659. The reversal of 4890640 is 460984.

It can be written as a sum of positive squares in 4 ways, for example, as 15376 + 4875264 = 124^2 + 2208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8770 + ... + 9310.

Almost surely, 24890640 is an apocalyptic number.

4890640 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 4890640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5746284).

4890640 is an abundant number, since it is smaller than the sum of its proper divisors (6601928).

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

4890640 is a wasteful number, since it uses less digits than its factorization.

4890640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4890640 is about 2211.4791430172. The cubic root of 4890640 is about 169.7417069484.

The spelling of 4890640 in words is "four million, eight hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 541 565 904 1082 1130 1808 2164 2260 2705 4328 4520 5410 8656 9040 10820 21640 43280 61133 122266 244532 305665 489064 611330 978128 1222660 2445320 4890640