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2482272 = 253313217
BaseRepresentation
bin1001011110000001100000
311200010001000
421132001200
51113413042
6125112000
730045642
oct11360140
94603030
102482272
111445a71
129b8600
1368bb00
14488892
1534074c
hex25e060

2482272 has 144 divisors (see below), whose sum is σ = 8300880. Its totient is φ = 718848.

The previous prime is 2482253. The next prime is 2482279. The reversal of 2482272 is 2722842.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2482279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146008 + ... + 146024.

It is an arithmetic number, because the mean of its divisors is an integer number (57645).

22482272 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 2482272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150440).

2482272 is an abundant number, since it is smaller than the sum of its proper divisors (5818608).

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

2482272 is a wasteful number, since it uses less digits than its factorization.

2482272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 35 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 2482272 is about 1575.5227703845. The cubic root of 2482272 is about 135.3993115536.

The spelling of 2482272 in words is "two million, four hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 54 68 72 78 96 102 104 108 117 136 144 153 156 169 204 208 216 221 234 272 288 306 312 338 351 408 416 432 442 459 468 507 544 612 624 663 676 702 816 864 884 918 936 1014 1224 1248 1326 1352 1404 1521 1632 1768 1836 1872 1989 2028 2448 2652 2704 2808 2873 3042 3536 3672 3744 3978 4056 4563 4896 5304 5408 5616 5746 5967 6084 7072 7344 7956 8112 8619 9126 10608 11232 11492 11934 12168 14688 15912 16224 17238 18252 21216 22984 23868 24336 25857 31824 34476 36504 45968 47736 48672 51714 63648 68952 73008 77571 91936 95472 103428 137904 146016 155142 190944 206856 275808 310284 413712 620568 827424 1241136 2482272