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2488032 = 253253163
BaseRepresentation
bin1001011111011011100000
311200101221100
421133123200
51114104112
6125154400
730101511
oct11373340
94611840
102488032
11144a328
129bba00
13691611
1448aa08
153422dc
hex25f6e0

2488032 has 72 divisors (see below), whose sum is σ = 7253064. Its totient is φ = 808704.

The previous prime is 2488019. The next prime is 2488043. The reversal of 2488032 is 2308842.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2487987 and 2488005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15183 + ... + 15345.

It is an arithmetic number, because the mean of its divisors is an integer number (100737).

22488032 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 2488032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626532).

2488032 is an abundant number, since it is smaller than the sum of its proper divisors (4765032).

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

2488032 is a wasteful number, since it uses less digits than its factorization.

2488032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

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

The square root of 2488032 is about 1577.3496758804. The cubic root of 2488032 is about 135.5039599792.

The spelling of 2488032 in words is "two million, four hundred eighty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 163 212 288 318 326 424 477 489 636 652 848 954 978 1272 1304 1467 1696 1908 1956 2544 2608 2934 3816 3912 5088 5216 5868 7632 7824 8639 11736 15264 15648 17278 23472 25917 34556 46944 51834 69112 77751 103668 138224 155502 207336 276448 311004 414672 622008 829344 1244016 2488032