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5148900 = 2233521907
BaseRepresentation
bin10011101001000011100100
3100200120222000
4103221003210
52304231100
6302205300
761523241
oct23510344
910616860
105148900
1129a7499
121883830
1310b37b3
149805c8
156ba900
hex4e90e4

5148900 has 72 divisors (see below), whose sum is σ = 16561440. Its totient is φ = 1372320.

The previous prime is 5148893. The next prime is 5148937. The reversal of 5148900 is 98415.

It is a super-2 number, since 2×51489002 = 53022342420000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1747 + ... + 3653.

It is an arithmetic number, because the mean of its divisors is an integer number (230020).

Almost surely, 25148900 is an apocalyptic number.

5148900 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 5148900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8280720).

5148900 is an abundant number, since it is smaller than the sum of its proper divisors (11412540).

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

5148900 is a wasteful number, since it uses less digits than its factorization.

5148900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5148900 is about 2269.1187716821. The cubic root of 5148900 is about 172.6784542637.

The spelling of 5148900 in words is "five million, one hundred forty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 1907 2700 3814 5721 7628 9535 11442 17163 19070 22884 28605 34326 38140 47675 51489 57210 68652 85815 95350 102978 114420 143025 171630 190700 205956 257445 286050 343260 429075 514890 572100 858150 1029780 1287225 1716300 2574450 5148900