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3780252 = 2232722143
BaseRepresentation
bin1110011010111010011100
321010001112100
432122322130
51431432002
6213005100
744063100
oct16327234
97101470
103780252
112152183
121323790
13a24848
14705900
154ea11c
hex39ae9c

3780252 has 54 divisors (see below), whose sum is σ = 11120928. Its totient is φ = 1079568.

The previous prime is 3780251. The next prime is 3780281. The reversal of 3780252 is 2520873.

3780252 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3780251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 693 + ... + 2835.

Almost surely, 23780252 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 3780252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560464).

3780252 is an abundant number, since it is smaller than the sum of its proper divisors (7340676).

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

3780252 is a wasteful number, since it uses less digits than its factorization.

3780252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3780252 is about 1944.2870158493. The cubic root of 3780252 is about 155.7782846413.

The spelling of 3780252 in words is "three million, seven hundred eighty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 2143 4286 6429 8572 12858 15001 19287 25716 30002 38574 45003 60004 77148 90006 105007 135009 180012 210014 270018 315021 420028 540036 630042 945063 1260084 1890126 3780252