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2488432 = 242931173
BaseRepresentation
bin1001011111100001110000
311200102111011
421133201300
51114112212
6125200304
730102622
oct11374160
94612434
102488432
11144a661
12a00094
1369185b
1448ac12
153424a7
hex25f870

2488432 has 40 divisors (see below), whose sum is σ = 5178240. Its totient is φ = 1155840.

The previous prime is 2488429. The next prime is 2488469. The reversal of 2488432 is 2348842.

2488432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 2488394 and 2488403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14298 + ... + 14470.

It is an arithmetic number, because the mean of its divisors is an integer number (129456).

22488432 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 2488432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589120).

2488432 is an abundant number, since it is smaller than the sum of its proper divisors (2689808).

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

2488432 is a wasteful number, since it uses less digits than its factorization.

2488432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its digits is 12288, while the sum is 31.

The square root of 2488432 is about 1577.4764657515. The cubic root of 2488432 is about 135.5112212309.

The spelling of 2488432 in words is "two million, four hundred eighty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 173 232 248 346 464 496 692 899 1384 1798 2768 3596 5017 5363 7192 10034 10726 14384 20068 21452 40136 42904 80272 85808 155527 311054 622108 1244216 2488432