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2441088 = 273213163
BaseRepresentation
bin1001010011111110000000
311121000112200
421103332000
51111103323
6124153200
726514606
oct11237600
94530480
102441088
111418031
12998800
13676140
14477876
15333443
hex253f80

2441088 has 96 divisors (see below), whose sum is σ = 7611240. Its totient is φ = 746496.

The previous prime is 2441083. The next prime is 2441093. The reversal of 2441088 is 8801442.

It is an interprime number because it is at equal distance from previous prime (2441083) and next prime (2441093).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14895 + ... + 15057.

22441088 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 2441088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805620).

2441088 is an abundant number, since it is smaller than the sum of its proper divisors (5170152).

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

2441088 is a wasteful number, since it uses less digits than its factorization.

2441088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2441088 is about 1562.3981566809. The cubic root of 2441088 is about 134.6463170026.

The spelling of 2441088 in words is "two million, four hundred forty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 163 192 208 234 288 312 326 384 416 468 489 576 624 652 832 936 978 1152 1248 1304 1467 1664 1872 1956 2119 2496 2608 2934 3744 3912 4238 4992 5216 5868 6357 7488 7824 8476 10432 11736 12714 14976 15648 16952 19071 20864 23472 25428 31296 33904 38142 46944 50856 62592 67808 76284 93888 101712 135616 152568 187776 203424 271232 305136 406848 610272 813696 1220544 2441088