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42225360 = 2435175939
BaseRepresentation
bin1010000100010…
…0111011010000
32221110021022020
42201010323100
541302202420
64105011440
71021624002
oct241047320
987407266
1042225360
11219205a1
1212183b80
138995728
145872372
153a91340
hex2844ed0

42225360 has 40 divisors (see below), whose sum is σ = 130899360. Its totient is φ = 11260032.

The previous prime is 42225349. The next prime is 42225371. The reversal of 42225360 is 6352224.

It is an interprime number because it is at equal distance from previous prime (42225349) and next prime (42225371).

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

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 42225360.

It is a congruent number.

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, 87730 + ... + 88209.

It is an arithmetic number, because the mean of its divisors is an integer number (3272484).

Almost surely, 242225360 is an apocalyptic number.

42225360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42225360 is an abundant number, since it is smaller than the sum of its proper divisors (88674000).

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

42225360 is a wasteful number, since it uses less digits than its factorization.

42225360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175955 (or 175949 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42225360 is about 6498.1043389592. The cubic root of 42225360 is about 348.2232680091.

Adding to 42225360 its reverse (6352224), we get a palindrome (48577584).

The spelling of 42225360 in words is "forty-two million, two hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 175939 351878 527817 703756 879695 1055634 1407512 1759390 2111268 2639085 2815024 3518780 4222536 5278170 7037560 8445072 10556340 14075120 21112680 42225360