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65525480 = 23517173557
BaseRepresentation
bin1111100111110…
…1011011101000
311120022001001122
43321331123220
5113233303410
610300234412
71423646246
oct371753350
9146261048
1065525480
1133a95299
1219b3ba08
1310762c97
1489b9796
155b44e55
hex3e7d6e8

65525480 has 64 divisors (see below), whose sum is σ = 157289040. Its totient is φ = 24481792.

The previous prime is 65525479. The next prime is 65525489. The reversal of 65525480 is 8452556.

It can be written as a sum of positive squares in 8 ways, for example, as 37625956 + 27899524 = 6134^2 + 5282^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 65525480.

It is not an unprimeable number, because it can be changed into a prime (65525489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117362 + ... + 117918.

Almost surely, 265525480 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 65525480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78644520).

65525480 is an abundant number, since it is smaller than the sum of its proper divisors (91763560).

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

65525480 is a wasteful number, since it uses less digits than its factorization.

65525480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 65525480 is about 8094.7810347161. The cubic root of 65525480 is about 403.1531619450.

The spelling of 65525480 in words is "sixty-five million, five hundred twenty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 173 340 346 557 680 692 865 1114 1384 1730 2228 2785 2941 3460 4456 5570 5882 6920 9469 11140 11764 14705 18938 22280 23528 29410 37876 47345 58820 75752 94690 96361 117640 189380 192722 378760 385444 481805 770888 963610 1638137 1927220 3276274 3854440 6552548 8190685 13105096 16381370 32762740 65525480