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3252863232 = 283317193147
BaseRepresentation
bin1100000111100010…
…1100000100000000
322101200211120111000
43001320230010000
523130213110412
61254440052000
7143415611163
oct30170540400
98350746430
103252863232
11141a17a323
12769464000
133cabba258
1422c029ada
151408914dc
hexc1e2c100

3252863232 has 576 divisors, whose sum is σ = 11302502400. Its totient is φ = 915701760.

The previous prime is 3252863219. The next prime is 3252863233. The reversal of 3252863232 is 2323682523.

3252863232 is a `hidden beast` number, since 3 + 252 + 86 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×32528632322 = 21162238412194971648, which contains 22 as substring.

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 (3252863233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69209833 + ... + 69209879.

It is an arithmetic number, because the mean of its divisors is an integer number (19622400).

Almost surely, 23252863232 is an apocalyptic number.

3252863232 is a gapful number since it is divisible by the number (32) 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 3252863232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651251200).

3252863232 is an abundant number, since it is smaller than the sum of its proper divisors (8049639168).

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

3252863232 is a wasteful number, since it uses less digits than its factorization.

3252863232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3252863232 is about 57033.8779323307. The cubic root of 3252863232 is about 1481.6828969629.

The spelling of 3252863232 in words is "three billion, two hundred fifty-two million, eight hundred sixty-three thousand, two hundred thirty-two".