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1382363532 = 22321122931353
BaseRepresentation
bin101001001100101…
…0011000110001100
310120100011100021100
41102121103012030
510312341113112
6345100503100
746153616244
oct12231230614
93510140240
101382363532
1164a343200
12326b4aa90
131905150b4
14d1840b24
158155e2dc
hex5265318c

1382363532 has 216 divisors, whose sum is σ = 4113083520. Its totient is φ = 390297600.

The previous prime is 1382363531. The next prime is 1382363597. The reversal of 1382363532 is 2353632831.

1382363532 is a `hidden beast` number, since 13 + 8 + 2 + 3 + 635 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1382363531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3915868 + ... + 3916220.

Almost surely, 21382363532 is an apocalyptic number.

1382363532 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 1382363532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056541760).

1382363532 is an abundant number, since it is smaller than the sum of its proper divisors (2730719988).

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

1382363532 is a wasteful number, since it uses less digits than its factorization.

1382363532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 429 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 1382363532 is about 37180.1497038406. The cubic root of 1382363532 is about 1113.9715242945.

The spelling of 1382363532 in words is "one billion, three hundred eighty-two million, three hundred sixty-three thousand, five hundred thirty-two".