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5587488 = 253329223
BaseRepresentation
bin10101010100001000100000
3101111212121000
4111110020200
52412244423
6315432000
765331024
oct25241040
911455530
105587488
113176a65
121a55600
13120830a
14a56384
15755843
hex554220

5587488 has 96 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 1790208.

The previous prime is 5587469. The next prime is 5587489. The reversal of 5587488 is 8847855.

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

It is an Ulam number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (5587489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24945 + ... + 25167.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 25587488 is an apocalyptic number.

5587488 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5587488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467200).

5587488 is an abundant number, since it is smaller than the sum of its proper divisors (11346912).

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

5587488 is a wasteful number, since it uses less digits than its factorization.

5587488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 5587488 is about 2363.7867924159. The cubic root of 5587488 is about 177.4484463122.

The spelling of 5587488 in words is "five million, five hundred eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 223 232 261 288 348 432 446 464 522 669 696 783 864 892 928 1044 1338 1392 1566 1784 2007 2088 2676 2784 3132 3568 4014 4176 5352 6021 6264 6467 7136 8028 8352 10704 12042 12528 12934 16056 19401 21408 24084 25056 25868 32112 38802 48168 51736 58203 64224 77604 96336 103472 116406 155208 174609 192672 206944 232812 310416 349218 465624 620832 698436 931248 1396872 1862496 2793744 5587488