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4834080 = 25345373
BaseRepresentation
bin10010011100001100100000
3100002121010000
4102130030200
52214142310
6251340000
756042346
oct22341440
910077100
104834080
112801a09
121751600
131003404
148db996
156574c0
hex49c320

4834080 has 120 divisors (see below), whose sum is σ = 17106012. Its totient is φ = 1285632.

The previous prime is 4834079. The next prime is 4834111. The reversal of 4834080 is 804384.

It can be written as a sum of positive squares in 2 ways, for example, as 4822416 + 11664 = 2196^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12774 + ... + 13146.

Almost surely, 24834080 is an apocalyptic number.

4834080 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 4834080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8553006).

4834080 is an abundant number, since it is smaller than the sum of its proper divisors (12271932).

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

4834080 is a wasteful number, since it uses less digits than its factorization.

4834080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 383 counting only the distinct ones).

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

The square root of 4834080 is about 2198.6541337828. The cubic root of 4834080 is about 169.0848167325.

The spelling of 4834080 in words is "four million, eight hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 373 405 432 480 540 648 720 746 810 864 1080 1119 1296 1440 1492 1620 1865 2160 2238 2592 2984 3240 3357 3730 4320 4476 5595 5968 6480 6714 7460 8952 10071 11190 11936 12960 13428 14920 16785 17904 20142 22380 26856 29840 30213 33570 35808 40284 44760 50355 53712 59680 60426 67140 80568 89520 100710 107424 120852 134280 151065 161136 179040 201420 241704 268560 302130 322272 402840 483408 537120 604260 805680 966816 1208520 1611360 2417040 4834080