Search a number
-
+
3252192 = 253191783
BaseRepresentation
bin1100011001111111100000
320010020011120
430121333200
51313032232
6153412240
736433416
oct14317740
96106146
103252192
111921469
12110a080
1389b398
146092b6
1544392c
hex319fe0

3252192 has 48 divisors (see below), whose sum is σ = 8991360. Its totient is φ = 1026432.

The previous prime is 3252191. The next prime is 3252203. The reversal of 3252192 is 2912523.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3252191) 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, 933 + ... + 2715.

It is an arithmetic number, because the mean of its divisors is an integer number (187320).

Almost surely, 23252192 is an apocalyptic number.

3252192 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 3252192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495680).

3252192 is an abundant number, since it is smaller than the sum of its proper divisors (5739168).

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

3252192 is a wasteful number, since it uses less digits than its factorization.

3252192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1807 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 3252192 is about 1803.3834866717. The cubic root of 3252192 is about 148.1580974306.

It can be divided in two parts, 325219 and 2, that added together give a triangular number (325221 = T806).

The spelling of 3252192 in words is "three million, two hundred fifty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1783 1824 3566 5349 7132 10698 14264 21396 28528 33877 42792 57056 67754 85584 101631 135508 171168 203262 271016 406524 542032 813048 1084064 1626096 3252192