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3089632 = 257131061
BaseRepresentation
bin1011110010010011100000
312210222011211
423302103200
51242332012
6150115504
735155450
oct13622340
95728154
103089632
111820317
12104bb94
138423b0
145a5d60
154106a7
hex2f24e0

3089632 has 48 divisors (see below), whose sum is σ = 7493472. Its totient is φ = 1221120.

The previous prime is 3089629. The next prime is 3089633. The reversal of 3089632 is 2369803.

It is a happy number.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3089594 and 3089603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3089633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2382 + ... + 3442.

It is an arithmetic number, because the mean of its divisors is an integer number (156114).

Almost surely, 23089632 is an apocalyptic number.

3089632 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 3089632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746736).

3089632 is an abundant number, since it is smaller than the sum of its proper divisors (4403840).

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

3089632 is a wasteful number, since it uses less digits than its factorization.

3089632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 3089632 is about 1757.7349060652. The cubic root of 3089632 is about 145.6472374202.

It can be divided in two parts, 3089 and 632, that added together give a square (3721 = 612).

The spelling of 3089632 in words is "three million, eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1061 1456 2122 2912 4244 7427 8488 13793 14854 16976 27586 29708 33952 55172 59416 96551 110344 118832 193102 220688 237664 386204 441376 772408 1544816 3089632