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1045288900 = 225210452889
BaseRepresentation
bin111110010011011…
…101011111000100
32200211220011210201
4332103131133010
54120043221100
6251420100244
734621544335
oct7623353704
92624804721
101045288900
11497047027
12252094684
13138736156
149cb7a28c
1561b7a36a
hex3e4dd7c4

1045288900 has 18 divisors (see below), whose sum is σ = 2268277130. Its totient is φ = 418115520.

The previous prime is 1045288897. The next prime is 1045288913. The reversal of 1045288900 is 98825401.

It can be written as a sum of positive squares in 3 ways, for example, as 8964036 + 1036324864 = 2994^2 + 32192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1045288900.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5226345 + ... + 5226544.

Almost surely, 21045288900 is an apocalyptic number.

1045288900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1045288900 is an abundant number, since it is smaller than the sum of its proper divisors (1222988230).

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

1045288900 is a wasteful number, since it uses less digits than its factorization.

1045288900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10452903 (or 10452896 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 1045288900 is about 32330.9279173982. The cubic root of 1045288900 is about 1014.8739681899.

The spelling of 1045288900 in words is "one billion, forty-five million, two hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10452889 20905778 41811556 52264445 104528890 209057780 261322225 522644450 1045288900