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5898144 = 253767131
BaseRepresentation
bin10110011111111110100000
3102002122201210
4112133332200
53002220034
6330230120
7101063520
oct26377640
912078653
105898144
1133693aa
121b85340
1312b6835
14ad7680
157b78e9
hex59ffa0

5898144 has 96 divisors (see below), whose sum is σ = 18095616. Its totient is φ = 1647360.

The previous prime is 5898131. The next prime is 5898163. The reversal of 5898144 is 4418985.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44959 + ... + 45089.

It is an arithmetic number, because the mean of its divisors is an integer number (188496).

Almost surely, 25898144 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 5898144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9047808).

5898144 is an abundant number, since it is smaller than the sum of its proper divisors (12197472).

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

5898144 is a wasteful number, since it uses less digits than its factorization.

5898144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 5898144 is about 2428.6094786935. The cubic root of 5898144 is about 180.6779372940.

The spelling of 5898144 in words is "five million, eight hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 67 84 96 112 131 134 168 201 224 262 268 336 393 402 469 524 536 672 786 804 917 938 1048 1072 1407 1572 1608 1834 1876 2096 2144 2751 2814 3144 3216 3668 3752 4192 5502 5628 6288 6432 7336 7504 8777 11004 11256 12576 14672 15008 17554 22008 22512 26331 29344 35108 44016 45024 52662 61439 70216 88032 105324 122878 140432 184317 210648 245756 280864 368634 421296 491512 737268 842592 983024 1474536 1966048 2949072 5898144