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2379252 = 22317107109
BaseRepresentation
bin1001000100110111110100
311110212201110
421010313310
51102114002
6122555020
726136411
oct11046764
94425643
102379252
111385627
12968a70
13653c55
1445d108
1531ee6c
hex244df4

2379252 has 48 divisors (see below), whose sum is σ = 5987520. Its totient is φ = 732672.

The previous prime is 2379241. The next prime is 2379253. The reversal of 2379252 is 2529732.

It is a happy number.

2379252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 28 + 37 + 75 + 92 + 218 + 54 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2379253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21774 + ... + 21882.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

22379252 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 2379252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993760).

2379252 is an abundant number, since it is smaller than the sum of its proper divisors (3608268).

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

2379252 is a wasteful number, since it uses less digits than its factorization.

2379252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 2379252 is about 1542.4824148106. The cubic root of 2379252 is about 133.4996563276.

The spelling of 2379252 in words is "two million, three hundred seventy-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 107 109 204 214 218 321 327 428 436 642 654 1284 1308 1819 1853 3638 3706 5457 5559 7276 7412 10914 11118 11663 21828 22236 23326 34989 46652 69978 139956 198271 396542 594813 793084 1189626 2379252