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1357892928 = 263273071097
BaseRepresentation
bin101000011101111…
…1100110101000000
310111122010002220200
41100323330311000
510240110033203
6342424205200
745435620340
oct12073746500
93448102820
101357892928
1163754a067
1231a909800
13188427b52
14cc4b0d20
157e3289a3
hex50efcd40

1357892928 has 168 divisors, whose sum is σ = 4466734272. Its totient is φ = 386353152.

The previous prime is 1357892927. The next prime is 1357892941. The reversal of 1357892928 is 8292987531.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357892927) 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, 1237276 + ... + 1238372.

It is an arithmetic number, because the mean of its divisors is an integer number (26587704).

Almost surely, 21357892928 is an apocalyptic number.

1357892928 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 1357892928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233367136).

1357892928 is an abundant number, since it is smaller than the sum of its proper divisors (3108841344).

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

1357892928 is a wasteful number, since it uses less digits than its factorization.

1357892928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1416 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 1357892928 is about 36849.5987495115. The cubic root of 1357892928 is about 1107.3591762474.

The spelling of 1357892928 in words is "one billion, three hundred fifty-seven million, eight hundred ninety-two thousand, nine hundred twenty-eight".