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3629052 = 2232714401
BaseRepresentation
bin1101110101111111111100
320211101010100
431311333330
51412112202
6205441100
742563220
oct15657774
96741110
103629052
112059619
121270190
139a0a8b
146a6780
154ba41c
hex375ffc

3629052 has 36 divisors (see below), whose sum is σ = 10484656. Its totient is φ = 1036800.

The previous prime is 3629051. The next prime is 3629053. The reversal of 3629052 is 2509263.

It is an interprime number because it is at equal distance from previous prime (3629051) and next prime (3629053).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3629051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6949 + ... + 7452.

Almost surely, 23629052 is an apocalyptic number.

It is an amenable number.

3629052 is an abundant number, since it is smaller than the sum of its proper divisors (6855604).

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

3629052 is a wasteful number, since it uses less digits than its factorization.

3629052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14418 (or 14413 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3629052 is about 1905.0070866010. The cubic root of 3629052 is about 153.6730568805.

Subtracting from 3629052 its sum of digits (27), we obtain a square (3629025 = 19052).

The spelling of 3629052 in words is "three million, six hundred twenty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 14401 28802 43203 57604 86406 100807 129609 172812 201614 259218 302421 403228 518436 604842 907263 1209684 1814526 3629052