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52680880 = 2457289151
BaseRepresentation
bin1100100011110…
…1100010110000
310200010110120201
43020331202300
5101441242010
65121044544
71206531400
oct310754260
9120113521
1052680880
1127811a1a
1215786754
13abb6725
146dd4800
15495923a
hex323d8b0

52680880 has 120 divisors (see below), whose sum is σ = 145035360. Its totient is φ = 17740800.

The previous prime is 52680877. The next prime is 52680889. The reversal of 52680880 is 8808625.

It is not an unprimeable number, because it can be changed into a prime (52680889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348805 + ... + 348955.

It is an arithmetic number, because the mean of its divisors is an integer number (1208628).

Almost surely, 252680880 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 52680880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72517680).

52680880 is an abundant number, since it is smaller than the sum of its proper divisors (92354480).

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

52680880 is a wasteful number, since it uses less digits than its factorization.

52680880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 52680880 is about 7258.1595463313. The cubic root of 52680880 is about 374.8731541355.

It can be divided in two parts, 526 and 80880, that added together give a triangular number (81406 = T403).

The spelling of 52680880 in words is "fifty-two million, six hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 89 98 112 140 151 178 196 245 280 302 356 392 445 490 560 604 623 712 755 784 890 980 1057 1208 1246 1424 1510 1780 1960 2114 2416 2492 3020 3115 3560 3920 4228 4361 4984 5285 6040 6230 7120 7399 8456 8722 9968 10570 12080 12460 13439 14798 16912 17444 21140 21805 24920 26878 29596 34888 36995 42280 43610 49840 53756 59192 67195 69776 73990 84560 87220 94073 107512 118384 134390 147980 174440 188146 215024 268780 295960 348880 376292 470365 537560 591920 658511 752584 940730 1075120 1317022 1505168 1881460 2634044 3292555 3762920 5268088 6585110 7525840 10536176 13170220 26340440 52680880