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42225880 = 23537103277
BaseRepresentation
bin1010000100010…
…1000011011000
32221110022000111
42201011003120
541302212010
64105014104
71021625344
oct241050330
987408014
1042225880
1121920a24
1212184334
138995a38
145872624
153a9158a
hex28450d8

42225880 has 64 divisors (see below), whose sum is σ = 98879040. Its totient is φ = 16215552.

The previous prime is 42225853. The next prime is 42225893. The reversal of 42225880 is 8852224.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152302 + ... + 152578.

It is an arithmetic number, because the mean of its divisors is an integer number (1544985).

Almost surely, 242225880 is an apocalyptic number.

42225880 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 42225880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49439520).

42225880 is an abundant number, since it is smaller than the sum of its proper divisors (56653160).

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

42225880 is a wasteful number, since it uses less digits than its factorization.

42225880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 42225880 is about 6498.1443505050. The cubic root of 42225880 is about 348.2246974452.

The spelling of 42225880 in words is "forty-two million, two hundred twenty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 103 148 185 206 277 296 370 412 515 554 740 824 1030 1108 1385 1480 2060 2216 2770 3811 4120 5540 7622 10249 11080 15244 19055 20498 28531 30488 38110 40996 51245 57062 76220 81992 102490 114124 142655 152440 204980 228248 285310 409960 570620 1055647 1141240 2111294 4222588 5278235 8445176 10556470 21112940 42225880