Search a number
-
+
3973812 = 2231929601
BaseRepresentation
bin1111001010001010110100
321110220001020
433022022310
52004130222
6221101140
745530313
oct17121264
97426036
103973812
112274647
1213b77b0
13a9198b
1475627a
1553765c
hex3ca2b4

3973812 has 48 divisors (see below), whose sum is σ = 10113600. Its totient is φ = 1209600.

The previous prime is 3973811. The next prime is 3973829. The reversal of 3973812 is 2183793.

3973812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39738122 = 31582363622688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973811) 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, 6312 + ... + 6912.

It is an arithmetic number, because the mean of its divisors is an integer number (210700).

Almost surely, 23973812 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 3973812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056800).

3973812 is an abundant number, since it is smaller than the sum of its proper divisors (6139788).

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

3973812 is a wasteful number, since it uses less digits than its factorization.

3973812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 654 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 3973812 is about 1993.4422489754. The cubic root of 3973812 is about 158.3929225998.

The spelling of 3973812 in words is "three million, nine hundred seventy-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 348 551 601 1102 1202 1653 1803 2204 2404 3306 3606 6612 7212 11419 17429 22838 34257 34858 45676 52287 68514 69716 104574 137028 209148 331151 662302 993453 1324604 1986906 3973812