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52632320 = 285133163
BaseRepresentation
bin1100100011000…
…1101100000000
310200000222222012
43020301230000
5101433213240
65120032052
71206236666
oct310615400
9120028865
1052632320
1127789494
1215762628
13ab9a5b0
146dc0c36
154949b65
hex3231b00

52632320 has 72 divisors (see below), whose sum is σ = 135811536. Its totient is φ = 19427328.

The previous prime is 52632317. The next prime is 52632367. The reversal of 52632320 is 2323625.

It is a happy number.

It is a super-2 number, since 2×526323202 = 5540322217164800, which contains 22 as substring.

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, 15059 + ... + 18221.

Almost surely, 252632320 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 52632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67905768).

52632320 is an abundant number, since it is smaller than the sum of its proper divisors (83179216).

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

52632320 is a wasteful number, since it uses less digits than its factorization.

52632320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 52632320 is about 7254.8135744483. The cubic root of 52632320 is about 374.7579356317.

Adding to 52632320 its reverse (2323625), we get a palindrome (54955945).

The spelling of 52632320 in words is "fifty-two million, six hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3163 3328 4160 6326 8320 12652 15815 16640 25304 31630 41119 50608 63260 82238 101216 126520 164476 202432 205595 253040 328952 404864 411190 506080 657904 809728 822380 1012160 1315808 1644760 2024320 2631616 3289520 4048640 5263232 6579040 10526464 13158080 26316160 52632320