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4001052 = 22311171783
BaseRepresentation
bin1111010000110100011100
321112021102010
433100310130
52011013202
6221431220
746002606
oct17206434
97467363
104001052
112293060
12140b510
13aa11b3
14762176
1554076c
hex3d0d1c

4001052 has 48 divisors (see below), whose sum is σ = 10789632. Its totient is φ = 1140480.

The previous prime is 4001029. The next prime is 4001059. The reversal of 4001052 is 2501004.

4001052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001059) 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, 1353 + ... + 3135.

It is an arithmetic number, because the mean of its divisors is an integer number (224784).

Almost surely, 24001052 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 4001052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5394816).

4001052 is an abundant number, since it is smaller than the sum of its proper divisors (6788580).

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

4001052 is a wasteful number, since it uses less digits than its factorization.

4001052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 4001052 is about 2000.2629827100. The cubic root of 4001052 is about 158.7540201929.

Adding to 4001052 its reverse (2501004), we get a palindrome (6502056).

The spelling of 4001052 in words is "four million, one thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 1783 2244 3566 5349 7132 10698 19613 21396 30311 39226 58839 60622 78452 90933 117678 121244 181866 235356 333421 363732 666842 1000263 1333684 2000526 4001052