Search a number
-
+
633052352 = 2653193967
BaseRepresentation
bin100101101110111…
…001110011000000
31122010012101120102
4211232321303000
52244030133402
6142452301532
721454566452
oct4556716300
91563171512
10633052352
112a5383669
121580118a8
13a11cbcba
146010c2d2
153a89b102
hex25bb9cc0

633052352 has 56 divisors (see below), whose sum is σ = 1287877536. Its totient is φ = 308625408.

The previous prime is 633052319. The next prime is 633052363. The reversal of 633052352 is 253250336.

633052352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 654173 + ... + 655139.

Almost surely, 2633052352 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 633052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643938768).

633052352 is an abundant number, since it is smaller than the sum of its proper divisors (654825184).

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

633052352 is a wasteful number, since it uses less digits than its factorization.

633052352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 29.

The square root of 633052352 is about 25160.5316319032. The cubic root of 633052352 is about 858.6441371522.

The spelling of 633052352 in words is "six hundred thirty-three million, fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 64 106 193 212 386 424 772 848 967 1544 1696 1934 3088 3392 3868 6176 7736 10229 12352 15472 20458 30944 40916 51251 61888 81832 102502 163664 186631 205004 327328 373262 410008 654656 746524 820016 1493048 1640032 2986096 3280064 5972192 9891443 11944384 19782886 39565772 79131544 158263088 316526176 633052352