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3852948 = 22311172101
BaseRepresentation
bin1110101100101010010100
321020202020210
432230222110
51441243243
6214325420
744515041
oct16545224
97222223
103852948
1121a1860
121359870
13a4b968
147241c8
15511933
hex3aca94

3852948 has 72 divisors (see below), whose sum is σ = 10521504. Its totient is φ = 1088000.

The previous prime is 3852923. The next prime is 3852949. The reversal of 3852948 is 8492583.

It is a happy number.

3852948 is digitally balanced in base 2, 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 (3852949) 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 23 ways as a sum of consecutive naturals, for example, 38098 + ... + 38198.

It is an arithmetic number, because the mean of its divisors is an integer number (146132).

Almost surely, 23852948 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 3852948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260752).

3852948 is an abundant number, since it is smaller than the sum of its proper divisors (6668556).

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

3852948 is a wasteful number, since it uses less digits than its factorization.

3852948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 3852948 is about 1962.8927632451. The cubic root of 3852948 is about 156.7705141175.

It can be divided in two parts, 385 and 2948, that added together give a palindrome (3333).

The spelling of 3852948 in words is "three million, eight hundred fifty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 101 102 132 187 202 204 289 303 374 404 561 578 606 748 867 1111 1122 1156 1212 1717 1734 2222 2244 3179 3333 3434 3468 4444 5151 6358 6666 6868 9537 10302 12716 13332 18887 19074 20604 29189 37774 38148 56661 58378 75548 87567 113322 116756 175134 226644 321079 350268 642158 963237 1284316 1926474 3852948