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3789972 = 2232105277
BaseRepresentation
bin1110011101010010010100
321010112212100
432131102110
51432234342
6213122100
744133324
oct16352224
97115770
103789972
11215950a
121329330
13a290b4
14709284
154ece4c
hex39d494

3789972 has 18 divisors (see below), whose sum is σ = 9580298. Its totient is φ = 1263312.

The previous prime is 3789971. The next prime is 3790001. The reversal of 3789972 is 2799873.

3789972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3218436 + 571536 = 1794^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3789971) 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 5 ways as a sum of consecutive naturals, for example, 52603 + ... + 52674.

Almost surely, 23789972 is an apocalyptic number.

It is an amenable number.

3789972 is an abundant number, since it is smaller than the sum of its proper divisors (5790326).

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

3789972 is a wasteful number, since it uses less digits than its factorization.

3789972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105287 (or 105282 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 3789972 is about 1946.7850420629. The cubic root of 3789972 is about 155.9116857134.

Subtracting from 3789972 its reverse (2799873), we obtain a palindrome (990099).

It can be divided in two parts, 3789 and 972, that added together give a square (4761 = 692).

The spelling of 3789972 in words is "three million, seven hundred eighty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 105277 210554 315831 421108 631662 947493 1263324 1894986 3789972