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42101226 = 23219257479
BaseRepresentation
bin1010000010011…
…0100111101010
32221012222000200
42200212213222
541234214401
64102213030
71020566046
oct240464752
987188020
1042101226
1121846302
1212124176
13895108b
14583d026
153a69686
hex28269ea

42101226 has 48 divisors (see below), whose sum is σ = 96595200. Its totient is φ = 13215744.

The previous prime is 42101209. The next prime is 42101249. The reversal of 42101226 is 62210124.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42101199 and 42101208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87655 + ... + 88133.

It is an arithmetic number, because the mean of its divisors is an integer number (2012400).

Almost surely, 242101226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42101226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48297600).

42101226 is an abundant number, since it is smaller than the sum of its proper divisors (54493974).

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

42101226 is a wasteful number, since it uses less digits than its factorization.

42101226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42101226 is about 6488.5457538650. The cubic root of 42101226 is about 347.8816977982.

The spelling of 42101226 in words is "forty-two million, one hundred one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 257 342 479 514 771 958 1437 1542 2313 2874 4311 4626 4883 8622 9101 9766 14649 18202 27303 29298 43947 54606 81909 87894 123103 163818 246206 369309 738618 1107927 2215854 2338957 4677914 7016871 14033742 21050613 42101226