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632996 = 227133747
BaseRepresentation
bin10011010100010100100
31012011022022
42122202210
5130223441
621322312
75244320
oct2324244
91164268
10632996
113a2641
12266398
13192170
14126980
15c784b
hex9a8a4

632996 has 48 divisors (see below), whose sum is σ = 1430016. Its totient is φ = 238464.

The previous prime is 632993. The next prime is 633001. The reversal of 632996 is 699236.

632996 is nontrivially palindromic in base 6.

Its product of digits (17496) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 632996.

It is not an unprimeable number, because it can be changed into a prime (632993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13445 + ... + 13491.

It is an arithmetic number, because the mean of its divisors is an integer number (29792).

2632996 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 632996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715008).

632996 is an abundant number, since it is smaller than the sum of its proper divisors (797020).

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

632996 is a wasteful number, since it uses less digits than its factorization.

632996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its digits is 17496, while the sum is 35.

The square root of 632996 is about 795.6104574476. The cubic root of 632996 is about 85.8618658612.

The spelling of 632996 in words is "six hundred thirty-two thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 13 14 26 28 37 47 52 74 91 94 148 182 188 259 329 364 481 518 611 658 962 1036 1222 1316 1739 1924 2444 3367 3478 4277 6734 6956 8554 12173 13468 17108 22607 24346 45214 48692 90428 158249 316498 632996