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4032252 = 2232716001
BaseRepresentation
bin1111011000011011111100
321120212012200
433120123330
52013013002
6222231500
746162560
oct17303374
97525180
104032252
112304544
121425590
13ab2463
1476d6a0
15549b1c
hex3d86fc

4032252 has 36 divisors (see below), whose sum is σ = 11649456. Its totient is φ = 1152000.

The previous prime is 4032221. The next prime is 4032257. The reversal of 4032252 is 2522304.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7749 + ... + 8252.

It is an arithmetic number, because the mean of its divisors is an integer number (323596).

Almost surely, 24032252 is an apocalyptic number.

4032252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4032252 is an abundant number, since it is smaller than the sum of its proper divisors (7617204).

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

4032252 is a wasteful number, since it uses less digits than its factorization.

4032252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16018 (or 16013 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4032252 is about 2008.0468122033. The cubic root of 4032252 is about 159.1656041278.

Adding to 4032252 its reverse (2522304), we get a palindrome (6554556).

It can be divided in two parts, 4032 and 252, that multiplied together give a square (1016064 = 10082).

The spelling of 4032252 in words is "four million, thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 16001 32002 48003 64004 96006 112007 144009 192012 224014 288018 336021 448028 576036 672042 1008063 1344084 2016126 4032252