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42200240 = 245895927
BaseRepresentation
bin1010000011111…
…0110010110000
32221101222211212
42200332302300
541300401430
64104255252
71021460525
oct240766260
987358755
1042200240
1121903735
1212171528
138987174
14586714c
153a88b95
hex283ecb0

42200240 has 40 divisors (see below), whose sum is σ = 99234720. Its totient is φ = 16687616.

The previous prime is 42200237. The next prime is 42200251. The reversal of 42200240 is 4200224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4157 + ... + 10083.

It is an arithmetic number, because the mean of its divisors is an integer number (2480868).

Almost surely, 242200240 is an apocalyptic number.

42200240 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 42200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49617360).

42200240 is an abundant number, since it is smaller than the sum of its proper divisors (57034480).

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

42200240 is a wasteful number, since it uses less digits than its factorization.

42200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6029 (or 6023 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 42200240 is about 6496.1711800106. The cubic root of 42200240 is about 348.1542012707.

Adding to 42200240 its reverse (4200224), we get a palindrome (46400464).

The spelling of 42200240 in words is "forty-two million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 5927 7120 11854 23708 29635 47416 59270 94832 118540 237080 474160 527503 1055006 2110012 2637515 4220024 5275030 8440048 10550060 21100120 42200240