Search a number
-
+
632053268 = 2271117120713
BaseRepresentation
bin100101101011000…
…101111000010100
31122001022122002022
4211223011320110
52243301201033
6142415032312
721443235620
oct4553057024
91561278068
10632053268
112a4860a80
1215780b698
13a0c3c322
145dd2c180
153a750098
hex25ac5e14

632053268 has 48 divisors (see below), whose sum is σ = 1460156544. Its totient is φ = 231767040.

The previous prime is 632053237. The next prime is 632053313. The reversal of 632053268 is 862350236.

It is a Smith number, since the sum of its digits (35) 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 15 ways as a sum of consecutive naturals, for example, 55121 + ... + 65592.

It is an arithmetic number, because the mean of its divisors is an integer number (30419928).

Almost surely, 2632053268 is an apocalyptic number.

632053268 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

632053268 is an abundant number, since it is smaller than the sum of its proper divisors (828103276).

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

632053268 is a wasteful number, since it uses less digits than its factorization.

632053268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120752 (or 120750 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 632053268 is about 25140.6696012656. The cubic root of 632053268 is about 858.1921949059.

The spelling of 632053268 in words is "six hundred thirty-two million, fifty-three thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 2618 5236 120713 241426 482852 844991 1327843 1689982 2052121 2655686 3379964 4104242 5311372 8208484 9294901 14364847 18589802 22573331 28729694 37179604 45146662 57459388 90293324 158013317 316026634 632053268