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1331607852 = 2232319712301
BaseRepresentation
bin100111101011110…
…1011100100101100
310102210122200120100
41033113223210230
510211342422402
6340044551100
744666323431
oct11727534454
93383580510
101331607852
11623726763
12311b52490
13182b53a53
14c8bcbb88
157bd8571c
hex4f5eb92c

1331607852 has 72 divisors (see below), whose sum is σ = 3510695552. Its totient is φ = 425088000.

The previous prime is 1331607833. The next prime is 1331607853. The reversal of 1331607852 is 2587061331.

1331607852 is a `hidden beast` number, since 13 + 31 + 607 + 8 + 5 + 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 (1331607853) 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, 102102 + ... + 114402.

Almost surely, 21331607852 is an apocalyptic number.

1331607852 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 1331607852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755347776).

1331607852 is an abundant number, since it is smaller than the sum of its proper divisors (2179087700).

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

1331607852 is a wasteful number, since it uses less digits than its factorization.

1331607852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12439 (or 12434 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1331607852 is about 36491.2023918095. The cubic root of 1331607852 is about 1100.1674268569.

The spelling of 1331607852 in words is "one billion, three hundred thirty-one million, six hundred seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 97 124 186 194 279 291 372 388 558 582 873 1116 1164 1746 3007 3492 6014 9021 12028 12301 18042 24602 27063 36084 36903 49204 54126 73806 108252 110709 147612 221418 381331 442836 762662 1143993 1193197 1525324 2287986 2386394 3431979 3579591 4575972 4772788 6863958 7159182 10738773 13727916 14318364 21477546 36989107 42955092 73978214 110967321 147956428 221934642 332901963 443869284 665803926 1331607852