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4864080 = 2435131559
BaseRepresentation
bin10010100011100001010000
3100011010021010
4102203201100
52221122310
6252130520
756225664
oct22434120
910133233
104864080
112822501
121766a40
131013c70
149088a4
15661320
hex4a3850

4864080 has 80 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 1196544.

The previous prime is 4864073. The next prime is 4864081. The reversal of 4864080 is 804684.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4864081) 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, 2341 + ... + 3899.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 24864080 is an apocalyptic number.

4864080 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 4864080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

4864080 is an abundant number, since it is smaller than the sum of its proper divisors (11384880).

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

4864080 is a wasteful number, since it uses less digits than its factorization.

4864080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4864080 is about 2205.4659371661. The cubic root of 4864080 is about 169.4338722738.

The spelling of 4864080 in words is "four million, eight hundred sixty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1559 1560 3118 3120 4677 6236 7795 9354 12472 15590 18708 20267 23385 24944 31180 37416 40534 46770 60801 62360 74832 81068 93540 101335 121602 124720 162136 187080 202670 243204 304005 324272 374160 405340 486408 608010 810680 972816 1216020 1621360 2432040 4864080