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1352445024 = 253741191257
BaseRepresentation
bin101000010011100…
…1010110001100000
310111020212022210110
41100213022301200
510232211220044
6342111331320
745341410260
oct12047126140
93436768713
101352445024
11634468a67
12318b20b40
1318726b238
14cb8937a0
157daee6b9
hex509cac60

1352445024 has 192 divisors, whose sum is σ = 4194312192. Its totient is φ = 373555200.

The previous prime is 1352445001. The next prime is 1352445071. The reversal of 1352445024 is 4205442531.

It is a junction number, because it is equal to n+sod(n) for n = 1352444982 and 1352445000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5262304 + ... + 5262560.

It is an arithmetic number, because the mean of its divisors is an integer number (21845376).

Almost surely, 21352445024 is an apocalyptic number.

1352445024 is a gapful number since it is divisible by the number (14) 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 1352445024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097156096).

1352445024 is an abundant number, since it is smaller than the sum of its proper divisors (2841867168).

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

1352445024 is a wasteful number, since it uses less digits than its factorization.

1352445024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 1352445024 is about 36775.6036524215. The cubic root of 1352445024 is about 1105.8762727739.

Adding to 1352445024 its reverse (4205442531), we get a palindrome (5557887555).

The spelling of 1352445024 in words is "one billion, three hundred fifty-two million, four hundred forty-five thousand, twenty-four".