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42221568 = 2143859
BaseRepresentation
bin1010000100010…
…0000000000000
32221110002002210
42201010000000
541302042233
64104542120
71021606644
oct241040000
987402083
1042221568
1121918764
1212181940
138993a9c
145870c24
153a90163
hex2844000

42221568 has 60 divisors (see below), whose sum is σ = 112718480. Its totient is φ = 14057472.

The previous prime is 42221561. The next prime is 42221579. The reversal of 42221568 is 86512224.

It is not an unprimeable number, because it can be changed into a prime (42221561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48723 + ... + 49581.

Almost surely, 242221568 is an apocalyptic number.

42221568 is a gapful number since it is divisible by the number (48) 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 42221568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56359240).

42221568 is an abundant number, since it is smaller than the sum of its proper divisors (70496912).

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

42221568 is an frugal number, since it uses more digits than its factorization.

42221568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 864 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 42221568 is about 6497.8125550065. The cubic root of 42221568 is about 348.2128437667.

The spelling of 42221568 in words is "forty-two million, two hundred twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 859 1024 1536 1718 2048 2577 3072 3436 4096 5154 6144 6872 8192 10308 12288 13744 16384 20616 24576 27488 41232 49152 54976 82464 109952 164928 219904 329856 439808 659712 879616 1319424 1759232 2638848 3518464 5277696 7036928 10555392 14073856 21110784 42221568