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52631280 = 24325135623
BaseRepresentation
bin1100100011000…
…1011011110000
310200000221112200
43020301123300
5101433200110
65120023200
71206233652
oct310613360
9120027480
1052631280
1127788729
1215761b00
13ab99c90
146dc06d2
1549496c0
hex32316f0

52631280 has 120 divisors (see below), whose sum is σ = 190383648. Its totient is φ = 12953088.

The previous prime is 52631261. The next prime is 52631339. The reversal of 52631280 is 8213625.

52631280 is a `hidden beast` number, since 5 + 2 + 631 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6549 + ... + 12171.

Almost surely, 252631280 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 52631280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95191824).

52631280 is an abundant number, since it is smaller than the sum of its proper divisors (137752368).

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

52631280 is a wasteful number, since it uses less digits than its factorization.

52631280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5655 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 52631280 is about 7254.7418975454. The cubic root of 52631280 is about 374.7554672446.

The spelling of 52631280 in words is "fifty-two million, six hundred thirty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 5623 9360 11246 16869 22492 28115 33738 44984 50607 56230 67476 73099 84345 89968 101214 112460 134952 146198 168690 202428 219297 224920 253035 269904 292396 337380 365495 404856 438594 449840 506070 584792 657891 674760 730990 809712 877188 1012140 1096485 1169584 1315782 1349520 1461980 1754376 2024280 2192970 2631564 2923960 3289455 3508752 4048560 4385940 5263128 5847920 6578910 8771880 10526256 13157820 17543760 26315640 52631280