Search a number
-
+
629926624 = 2541539059
BaseRepresentation
bin100101100010111…
…110101011100000
31121220022120212201
4211202332223200
52242230122444
6142301302544
721416200525
oct4542765340
91556276781
10629926624
112a3639218
12156b64a54
13a0676362
145d93714c
153a47edd4
hex258beae0

629926624 has 48 divisors (see below), whose sum is σ = 1294529040. Its totient is φ = 301450240.

The previous prime is 629926613. The next prime is 629926631. The reversal of 629926624 is 426629926.

629926624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65007 + ... + 74065.

It is an arithmetic number, because the mean of its divisors is an integer number (26969355).

Almost surely, 2629926624 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 629926624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647264520).

629926624 is an abundant number, since it is smaller than the sum of its proper divisors (664602416).

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

629926624 is a wasteful number, since it uses less digits than its factorization.

629926624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9163 (or 9155 counting only the distinct ones).

The product of its digits is 559872, while the sum is 46.

The square root of 629926624 is about 25098.3390685519. The cubic root of 629926624 is about 857.2286052205.

It can be divided in two parts, 6299 and 26624, that added together give a palindrome (32923).

The spelling of 629926624 in words is "six hundred twenty-nine million, nine hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 53 82 106 164 212 328 424 656 848 1312 1696 2173 4346 8692 9059 17384 18118 34768 36236 69536 72472 144944 289888 371419 480127 742838 960254 1485676 1920508 2971352 3841016 5942704 7682032 11885408 15364064 19685207 39370414 78740828 157481656 314963312 629926624