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5487900 = 22352111663
BaseRepresentation
bin10100111011110100011100
3101022210222120
4110323310130
52401103100
6313342540
764434465
oct24736434
911283876
105487900
113109160
121a07a50
1311a1ba2
14a2bd6c
157360a0
hex53bd1c

5487900 has 72 divisors (see below), whose sum is σ = 17332224. Its totient is φ = 1329600.

The previous prime is 5487883. The next prime is 5487901. The reversal of 5487900 is 97845.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5487901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2469 + ... + 4131.

Almost surely, 25487900 is an apocalyptic number.

5487900 is a gapful number since it is divisible by the number (50) 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 5487900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8666112).

5487900 is an abundant number, since it is smaller than the sum of its proper divisors (11844324).

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

5487900 is a wasteful number, since it uses less digits than its factorization.

5487900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5487900 is about 2342.6267308302. The cubic root of 5487900 is about 176.3878756173.

It can be divided in two parts, 548 and 7900, that added together give a palindrome (8448).

The spelling of 5487900 in words is "five million, four hundred eighty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 1663 3300 3326 4989 6652 8315 9978 16630 18293 19956 24945 33260 36586 41575 49890 54879 73172 83150 91465 99780 109758 124725 166300 182930 219516 249450 274395 365860 457325 498900 548790 914650 1097580 1371975 1829300 2743950 5487900