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52665320 = 23517411889
BaseRepresentation
bin1100100011100…
…1101111101000
310200002200020102
43020321233220
5101440242240
65120444532
71206435131
oct310715750
9120080212
1052665320
1127801264
1215779748
13abac616
146dccc88
154954815
hex3239be8

52665320 has 64 divisors (see below), whose sum is σ = 128595600. Its totient is φ = 19333120.

The previous prime is 52665313. The next prime is 52665329. The reversal of 52665320 is 2356625.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15382084 + 37283236 = 3922^2 + 6106^2 .

It is not an unprimeable number, because it can be changed into a prime (52665329) 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, 26936 + ... + 28824.

Almost surely, 252665320 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 52665320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64297800).

52665320 is an abundant number, since it is smaller than the sum of its proper divisors (75930280).

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

52665320 is a wasteful number, since it uses less digits than its factorization.

52665320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 52665320 is about 7257.0875700931. The cubic root of 52665320 is about 374.8362425738.

The spelling of 52665320 in words is "fifty-two million, six hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 680 697 820 1394 1640 1889 2788 3485 3778 5576 6970 7556 9445 13940 15112 18890 27880 32113 37780 64226 75560 77449 128452 154898 160565 256904 309796 321130 387245 619592 642260 774490 1284520 1316633 1548980 2633266 3097960 5266532 6583165 10533064 13166330 26332660 52665320