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629442 = 232112172
BaseRepresentation
bin10011001101011000010
31011222102200
42121223002
5130120232
621254030
75231052
oct2315302
91158380
10629442
1139aa00
12264316
13190668
14125562
15c677c
hex99ac2

629442 has 54 divisors (see below), whose sum is σ = 1592409. Its totient is φ = 179520.

The previous prime is 629429. The next prime is 629449. The reversal of 629442 is 244926.

It can be written as a sum of positive squares in 2 ways, for example, as 576081 + 53361 = 759^2 + 231^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=561.

Its product of digits (3456) is a multiple of the sum of its prime factors (64).

It is not an unprimeable number, because it can be changed into a prime (629449) by changing a digit.

629442 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 26 ways as a sum of consecutive naturals, for example, 37018 + ... + 37034.

2629442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629442

629442 is an abundant number, since it is smaller than the sum of its proper divisors (962967).

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

629442 is a wasteful number, since it uses less digits than its factorization.

629442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 33 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 629442 is about 793.3738084913. The cubic root of 629442 is about 85.7008717104.

It can be divided in two parts, 6294 and 42, that added together give a palindrome (6336).

The spelling of 629442 in words is "six hundred twenty-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 289 306 363 374 561 578 726 867 1089 1122 1683 1734 2057 2178 2601 3179 3366 4114 5202 6171 6358 9537 12342 18513 19074 28611 34969 37026 57222 69938 104907 209814 314721 629442