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3629056 = 213443
BaseRepresentation
bin1101110110000000000000
320211101010111
431312000000
51412112211
6205441104
742563224
oct15660000
96741114
103629056
112059622
121270194
139a0a92
146a6784
154ba421
hex376000

3629056 has 28 divisors (see below), whose sum is σ = 7274052. Its totient is φ = 1810432.

The previous prime is 3629053. The next prime is 3629063. The reversal of 3629056 is 6509263.

It is a super-2 number, since 2×36290562 = 26340094902272, which contains 22 as substring.

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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7971 + ... + 8413.

Almost surely, 23629056 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 3629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637026).

3629056 is an abundant number, since it is smaller than the sum of its proper divisors (3644996).

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

3629056 is an frugal number, since it uses more digits than its factorization.

3629056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 3629056 is about 1905.0081364656. The cubic root of 3629056 is about 153.6731133408.

Subtracting from 3629056 its sum of digits (31), we obtain a square (3629025 = 19052).

It can be divided in two parts, 36 and 29056, that added together give a palindrome (29092).

The spelling of 3629056 in words is "three million, six hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 443 512 886 1024 1772 2048 3544 4096 7088 8192 14176 28352 56704 113408 226816 453632 907264 1814528 3629056