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42565280 = 2551715649
BaseRepresentation
bin1010001001011…
…1111010100000
32222002112120212
42202113322200
541344042110
64120153252
71024541012
oct242277240
988075525
1042565280
1122032a1a
1212308828
138a84374
1459201b2
153b0be05
hex2897ea0

42565280 has 48 divisors (see below), whose sum is σ = 106482600. Its totient is φ = 16023552.

The previous prime is 42565253. The next prime is 42565283. The reversal of 42565280 is 8256524.

It can be written as a sum of positive squares in 4 ways, for example, as 32855824 + 9709456 = 5732^2 + 3116^2 .

It is a super-2 number, since 2×425652802 = 3623606122956800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (42565283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5105 + ... + 10544.

Almost surely, 242565280 is an apocalyptic number.

42565280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42565280 is an abundant number, since it is smaller than the sum of its proper divisors (63917320).

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

42565280 is a wasteful number, since it uses less digits than its factorization.

42565280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15681 (or 15673 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 42565280 is about 6524.2072315340. The cubic root of 42565280 is about 349.1551869617.

The spelling of 42565280 in words is "forty-two million, five hundred sixty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 15649 31298 62596 78245 125192 156490 250384 266033 312980 500768 532066 625960 1064132 1251920 1330165 2128264 2503840 2660330 4256528 5320660 8513056 10641320 21282640 42565280