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1357227648 = 27327473581
BaseRepresentation
bin101000011100101…
…1010011010000000
310111120212022022200
41100321122122000
510234422241043
6342402033200
745430146630
oct12071323200
93446768280
101357227648
11637135247
1231a648800
131882540aa
14cc37a6c0
157e2467d3
hex50e5a680

1357227648 has 192 divisors, whose sum is σ = 4559742720. Its totient is φ = 379422720.

The previous prime is 1357227629. The next prime is 1357227649. The reversal of 1357227648 is 8467227531.

1357227648 is a `hidden beast` number, since 1 + 3 + 572 + 2 + 76 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×13572276482 = 3684133776991223808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357227649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377218 + ... + 380798.

It is an arithmetic number, because the mean of its divisors is an integer number (23748660).

Almost surely, 21357227648 is an apocalyptic number.

1357227648 is a gapful number since it is divisible by the number (18) 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 1357227648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279871360).

1357227648 is an abundant number, since it is smaller than the sum of its proper divisors (3202515072).

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

1357227648 is a wasteful number, since it uses less digits than its factorization.

1357227648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3640 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 1357227648 is about 36840.5706796190. The cubic root of 1357227648 is about 1107.1783018346.

The spelling of 1357227648 in words is "one billion, three hundred fifty-seven million, two hundred twenty-seven thousand, six hundred forty-eight".