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612032 = 2673131
BaseRepresentation
bin10010101011011000000
31011002112212
42111123000
5124041112
621041252
75126231
oct2253300
91132485
10612032
11388913
12256228
13185765
1411d088
15c1522
hex956c0

612032 has 28 divisors (see below), whose sum is σ = 1240536. Its totient is φ = 299520.

The previous prime is 612023. The next prime is 612037. The reversal of 612032 is 230216.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 611998 and 612016.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 612032.

It is not an unprimeable number, because it can be changed into a prime (612037) by changing a digit.

612032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4607 + ... + 4737.

2612032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620268).

612032 is an abundant number, since it is smaller than the sum of its proper divisors (628504).

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

612032 is a wasteful number, since it uses less digits than its factorization.

612032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 612032 is about 782.3247407567. The cubic root of 612032 is about 84.9033272327.

Adding to 612032 its reverse (230216), we get a palindrome (842248).

The spelling of 612032 in words is "six hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 73 131 146 262 292 524 584 1048 1168 2096 2336 4192 4672 8384 9563 19126 38252 76504 153008 306016 612032