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42751008 = 2532791879
BaseRepresentation
bin1010001100010…
…1010000100000
32222102222100200
42203011100200
541421013013
64124145200
71026243336
oct243052040
988388320
1042751008
112214a513
1212398200
138b1aa71
14596bb56
153b46e73
hex28c5420

42751008 has 72 divisors (see below), whose sum is σ = 123177600. Its totient is φ = 14062464.

The previous prime is 42751003. The next prime is 42751013. The reversal of 42751008 is 80015724.

It is an interprime number because it is at equal distance from previous prime (42751003) and next prime (42751013).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (42751001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21813 + ... + 23691.

It is an arithmetic number, because the mean of its divisors is an integer number (1710800).

Almost surely, 242751008 is an apocalyptic number.

42751008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42751008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61588800).

42751008 is an abundant number, since it is smaller than the sum of its proper divisors (80426592).

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

42751008 is a wasteful number, since it uses less digits than its factorization.

42751008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 42751008 is about 6538.4254985432. The cubic root of 42751008 is about 349.6622810387.

The spelling of 42751008 in words is "forty-two million, seven hundred fifty-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1879 1896 2528 2844 3758 3792 5637 5688 7516 7584 11274 11376 15032 16911 22548 22752 30064 33822 45096 60128 67644 90192 135288 148441 180384 270576 296882 445323 541152 593764 890646 1187528 1335969 1781292 2375056 2671938 3562584 4750112 5343876 7125168 10687752 14250336 21375504 42751008