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1028262500 = 225582261
BaseRepresentation
bin111101010010100…
…000101001100100
32122122212010222022
4331102200221210
54101213400000
6250011122312
734324041566
oct7522405144
92578763868
101028262500
11488477921
12248443398
13135054365
149a7c7336
1560415585
hex3d4a0a64

1028262500 has 36 divisors (see below), whose sum is σ = 2249207604. Its totient is φ = 411300000.

The previous prime is 1028262497. The next prime is 1028262581. The reversal of 1028262500 is 52628201.

It can be written as a sum of positive squares in 6 ways, for example, as 991998016 + 36264484 = 31496^2 + 6022^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1028262500.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28631 + ... + 53630.

It is an arithmetic number, because the mean of its divisors is an integer number (62477989).

Almost surely, 21028262500 is an apocalyptic number.

1028262500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028262500 is an abundant number, since it is smaller than the sum of its proper divisors (1220945104).

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

1028262500 is an frugal number, since it uses more digits than its factorization.

1028262500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82290 (or 82268 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1028262500 is about 32066.5323975013. The cubic root of 1028262500 is about 1009.3334490399. Note that the first 3 decimals are identical.

The spelling of 1028262500 in words is "one billion, twenty-eight million, two hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 6250 12500 82261 164522 329044 411305 822610 1645220 2056525 4113050 8226100 10282625 20565250 41130500 51413125 102826250 205652500 257065625 514131250 1028262500