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3628872 = 2332133877
BaseRepresentation
bin1101110101111101001000
320211100212200
431311331020
51412110442
6205440200
742562542
oct15657510
96740780
103628872
112059475
121270060
139a0980
146a6692
154ba34c
hex375f48

3628872 has 48 divisors (see below), whose sum is σ = 10586940. Its totient is φ = 1116288.

The previous prime is 3628853. The next prime is 3628883. The reversal of 3628872 is 2788263.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3261636 + 367236 = 1806^2 + 606^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003 + ... + 2874.

Almost surely, 23628872 is an apocalyptic number.

It is an amenable number.

3628872 is an abundant number, since it is smaller than the sum of its proper divisors (6958068).

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

3628872 is a wasteful number, since it uses less digits than its factorization.

3628872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3895 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 3628872 is about 1904.9598420964. The cubic root of 3628872 is about 153.6705161244.

The spelling of 3628872 in words is "three million, six hundred twenty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 3877 7754 11631 15508 23262 31016 34893 46524 50401 69786 93048 100802 139572 151203 201604 279144 302406 403208 453609 604812 907218 1209624 1814436 3628872