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634987936 = 251114912107
BaseRepresentation
bin100101110110010…
…010010110100000
31122020211201200201
4211312102112200
52300024103221
6143001554544
721510210532
oct4566222640
91566751621
10634987936
112a6485920
121587a5a54
13a172900b
1460493852
153ab2e891
hex25d925a0

634987936 has 48 divisors (see below), whose sum is σ = 1373047200. Its totient is φ = 286670080.

The previous prime is 634987901. The next prime is 634987937. The reversal of 634987936 is 639789436.

It is not an unprimeable number, because it can be changed into a prime (634987937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46395 + ... + 58501.

It is an arithmetic number, because the mean of its divisors is an integer number (28605150).

Almost surely, 2634987936 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 634987936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686523600).

634987936 is an abundant number, since it is smaller than the sum of its proper divisors (738059264).

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

634987936 is a wasteful number, since it uses less digits than its factorization.

634987936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12277 (or 12269 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 55.

The square root of 634987936 is about 25198.9669629531. The cubic root of 634987936 is about 859.5183601998.

The spelling of 634987936 in words is "six hundred thirty-four million, nine hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 149 176 298 352 596 1192 1639 2384 3278 4768 6556 12107 13112 24214 26224 48428 52448 96856 133177 193712 266354 387424 532708 1065416 1803943 2130832 3607886 4261664 7215772 14431544 19843373 28863088 39686746 57726176 79373492 158746984 317493968 634987936