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42230944 = 2572231171
BaseRepresentation
bin1010000100011…
…0010010100000
32221110112222001
42201012102200
541302342234
64105053344
71021646200
oct241062240
987415861
1042230944
1121924808
1212187254
138998132
145874400
153a92d14
hex28464a0

42230944 has 72 divisors (see below), whose sum is σ = 101007648. Its totient is φ = 17297280.

The previous prime is 42230911. The next prime is 42230953. The reversal of 42230944 is 44903224.

It is a super-2 number, since 2×422309442 = 3566905262262272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35479 + ... + 36649.

It is an arithmetic number, because the mean of its divisors is an integer number (1402884).

Almost surely, 242230944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42230944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50503824).

42230944 is an abundant number, since it is smaller than the sum of its proper divisors (58776704).

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

42230944 is a wasteful number, since it uses less digits than its factorization.

42230944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 42230944 is about 6498.5339885239. The cubic root of 42230944 is about 348.2386173396.

The spelling of 42230944 in words is "forty-two million, two hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 368 392 644 736 784 1127 1171 1288 1568 2254 2342 2576 4508 4684 5152 8197 9016 9368 16394 18032 18736 26933 32788 36064 37472 53866 57379 65576 107732 114758 131152 188531 215464 229516 262304 377062 430928 459032 754124 861856 918064 1319717 1508248 1836128 2639434 3016496 5278868 6032992 10557736 21115472 42230944