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42750240 = 25351321731
BaseRepresentation
bin1010001100010…
…1000100100000
32222102221022020
42203011010200
541421001430
64124141440
71026241161
oct243050440
988387266
1042750240
1122149985
1212397880
138b1a600
14596b768
153b46b10
hex28c5120

42750240 has 288 divisors, whose sum is σ = 159376896. Its totient is φ = 9584640.

The previous prime is 42750233. The next prime is 42750269. The reversal of 42750240 is 4205724.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42750240.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1379025 + ... + 1379055.

It is an arithmetic number, because the mean of its divisors is an integer number (553392).

Almost surely, 242750240 is an apocalyptic number.

42750240 is a gapful number since it is divisible by the number (40) 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 42750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79688448).

42750240 is an abundant number, since it is smaller than the sum of its proper divisors (116626656).

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

42750240 is a wasteful number, since it uses less digits than its factorization.

42750240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 42750240 is about 6538.3667685440. The cubic root of 42750240 is about 349.6601871914.

Adding to 42750240 its reverse (4205724), we get a palindrome (46955964).

The spelling of 42750240 in words is "forty-two million, seven hundred fifty thousand, two hundred forty".