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4380032 = 27191801
BaseRepresentation
bin10000101101010110000000
322020112021102
4100231112000
52110130112
6233513532
752141526
oct20552600
98215242
104380032
112521868
1215728a8
13ba4847
14820316
155b7bc2
hex42d580

4380032 has 32 divisors (see below), whose sum is σ = 9190200. Its totient is φ = 2073600.

The previous prime is 4380031. The next prime is 4380037. The reversal of 4380032 is 2300834.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 4379986 and 4380013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4380031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1532 + ... + 3332.

Almost surely, 24380032 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 4380032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595100).

4380032 is an abundant number, since it is smaller than the sum of its proper divisors (4810168).

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

4380032 is a wasteful number, since it uses less digits than its factorization.

4380032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4380032 is about 2092.8525987274. The cubic root of 4380032 is about 163.6159962679.

Adding to 4380032 its reverse (2300834), we get a palindrome (6680866).

It can be divided in two parts, 43 and 80032, that multiplied together give a triangular number (3441376 = T2623).

The spelling of 4380032 in words is "four million, three hundred eighty thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 1801 2432 3602 7204 14408 28816 34219 57632 68438 115264 136876 230528 273752 547504 1095008 2190016 4380032