Search a number
-
+
629429328 = 2432111572531
BaseRepresentation
bin100101100001000…
…101010001010000
31121212101022201100
4211201011101100
52242113214303
6142242504400
721412026633
oct4541052120
91555338640
10629429328
112a3329630
12156965100
13a0530bb8
145d847c1a
153a3d28a3
hex25845450

629429328 has 120 divisors (see below), whose sum is σ = 1934670816. Its totient is φ = 189446400.

The previous prime is 629429327. The next prime is 629429341. The reversal of 629429328 is 823924926.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629429327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247423 + ... + 249953.

Almost surely, 2629429328 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 629429328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967335408).

629429328 is an abundant number, since it is smaller than the sum of its proper divisors (1305241488).

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

629429328 is a wasteful number, since it uses less digits than its factorization.

629429328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2704 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 629429328 is about 25088.4301621285. The cubic root of 629429328 is about 857.0029659320.

The spelling of 629429328 in words is "six hundred twenty-nine million, four hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 157 176 198 264 314 396 471 528 628 792 942 1256 1413 1584 1727 1884 2512 2531 2826 3454 3768 5062 5181 5652 6908 7536 7593 10124 10362 11304 13816 15186 15543 20248 20724 22608 22779 27632 27841 30372 31086 40496 41448 45558 55682 60744 62172 82896 83523 91116 111364 121488 124344 167046 182232 222728 248688 250569 334092 364464 397367 445456 501138 668184 794734 1002276 1192101 1336368 1589468 2004552 2384202 3178936 3576303 4009104 4371037 4768404 6357872 7152606 8742074 9536808 13113111 14305212 17484148 19073616 26226222 28610424 34968296 39339333 52452444 57220848 69936592 78678666 104904888 157357332 209809776 314714664 629429328