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629052 = 223193189
BaseRepresentation
bin10011001100100111100
31011221220020
42121210330
5130112202
621252140
75226654
oct2314474
91157806
10629052
1139a686
12264050
13190428
14125364
15c65bc
hex9993c

629052 has 48 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 190080.

The previous prime is 629029. The next prime is 629059. The reversal of 629052 is 250926.

629052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629059) by changing a digit.

629052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7024 + ... + 7112.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

2629052 is an apocalyptic number.

629052 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

629052 is an abundant number, since it is smaller than the sum of its proper divisors (983748).

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

629052 is a wasteful number, since it uses less digits than its factorization.

629052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 629052 is about 793.1279846280. The cubic root of 629052 is about 85.6831680695.

Adding to 629052 its reverse (250926), we get a palindrome (879978).

The spelling of 629052 in words is "six hundred twenty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 89 93 114 124 178 186 228 267 356 372 534 589 1068 1178 1691 1767 2356 2759 3382 3534 5073 5518 6764 7068 8277 10146 11036 16554 20292 33108 52421 104842 157263 209684 314526 629052