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2464072 = 2313192943
BaseRepresentation
bin1001011001100101001000
311122012001221
421121211020
51112322242
6124451424
726641612
oct11314510
94565057
102464072
111433326
129a9b74
13683740
14481db2
1533a167
hex259948

2464072 has 64 divisors (see below), whose sum is σ = 5544000. Its totient is φ = 1016064.

The previous prime is 2464061. The next prime is 2464073. The reversal of 2464072 is 2704642.

It is not an unprimeable number, because it can be changed into a prime (2464073) 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, 57283 + ... + 57325.

It is an arithmetic number, because the mean of its divisors is an integer number (86625).

22464072 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 2464072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772000).

2464072 is an abundant number, since it is smaller than the sum of its proper divisors (3079928).

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

2464072 is a wasteful number, since it uses less digits than its factorization.

2464072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 2464072 is about 1569.7362835840. The cubic root of 2464072 is about 135.0675839016.

The spelling of 2464072 in words is "two million, four hundred sixty-four thousand, seventy-two".

Divisors: 1 2 4 8 13 19 26 29 38 43 52 58 76 86 104 116 152 172 232 247 344 377 494 551 559 754 817 988 1102 1118 1247 1508 1634 1976 2204 2236 2494 3016 3268 4408 4472 4988 6536 7163 9976 10621 14326 16211 21242 23693 28652 32422 42484 47386 57304 64844 84968 94772 129688 189544 308009 616018 1232036 2464072