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1352650752 = 21237151
BaseRepresentation
bin101000010011111…
…1101000000000000
310111021020210000000
41100213331000000
510232234311002
6342120000000
745343225125
oct12047750000
93437223000
101352650752
11634599592
12319000000
13187310a7b
14cb90874c
157db4061c
hex509fd000

1352650752 has 208 divisors, whose sum is σ = 4083704960. Its totient is φ = 447897600.

The previous prime is 1352650727. The next prime is 1352650759. The reversal of 1352650752 is 2570562531.

1352650752 is a `hidden beast` number, since 13 + 526 + 50 + 75 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352650759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8957877 + ... + 8958027.

Almost surely, 21352650752 is an apocalyptic number.

1352650752 is a gapful number since it is divisible by the number (12) 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 1352650752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041852480).

1352650752 is an abundant number, since it is smaller than the sum of its proper divisors (2731054208).

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

1352650752 is an frugal number, since it uses more digits than its factorization.

1352650752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 1352650752 is about 36778.4006177539. The cubic root of 1352650752 is about 1105.9323436122.

The spelling of 1352650752 in words is "one billion, three hundred fifty-two million, six hundred fifty thousand, seven hundred fifty-two".