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90048000852 = 22325347194969
BaseRepresentation
bin101001111011101000…
…1110111001101010100
322121102121012101220200
41103313101313031110
52433404242011402
6105211213100500
76335321243505
oct1236721671524
9277377171820
1090048000852
1135209826917
1215550a87730
138650a5a754
144503434bac
1525206ae21c
hex14f7477354

90048000852 has 36 divisors (see below), whose sum is σ = 231916082580. Its totient is φ = 29449660032.

The previous prime is 90048000811. The next prime is 90048000919. The reversal of 90048000852 is 25800084009.

It can be written as a sum of positive squares in 2 ways, for example, as 58348334916 + 31699665936 = 241554^2 + 178044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23595577 + ... + 23599392.

It is an arithmetic number, because the mean of its divisors is an integer number (6442113405).

Almost surely, 290048000852 is an apocalyptic number.

It is an amenable number.

90048000852 is an abundant number, since it is smaller than the sum of its proper divisors (141868081728).

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

90048000852 is a wasteful number, since it uses less digits than its factorization.

90048000852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47195032 (or 47195027 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 90048000852 in words is "ninety billion, forty-eight million, eight hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 47194969 94389938 141584907 188779876 283169814 424754721 566339628 849509442 1699018884 2501333357 5002666714 7504000071 10005333428 15008000142 22512000213 30016000284 45024000426 90048000852