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42205254 = 23713174547
BaseRepresentation
bin1010000100000…
…0000001000110
32221102020201120
42201000001012
541301032004
64104334410
71021511250
oct241000106
987366646
1042205254
1121907483
1212174406
138989530
145868cd0
153a8a3d9
hex2840046

42205254 has 64 divisors (see below), whose sum is σ = 110025216. Its totient is φ = 10473984.

The previous prime is 42205217. The next prime is 42205279. The reversal of 42205254 is 45250224.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7009 + ... + 11555.

It is an arithmetic number, because the mean of its divisors is an integer number (1719144).

Almost surely, 242205254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42205254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55012608).

42205254 is an abundant number, since it is smaller than the sum of its proper divisors (67819962).

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

42205254 is a wasteful number, since it uses less digits than its factorization.

42205254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589.

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 42205254 is about 6496.5570881814. The cubic root of 42205254 is about 348.1679893126.

Adding to 42205254 its reverse (45250224), we get a palindrome (87455478).

The spelling of 42205254 in words is "forty-two million, two hundred five thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 546 663 714 1326 1547 3094 4547 4641 9094 9282 13641 27282 31829 59111 63658 77299 95487 118222 154598 177333 190974 231897 354666 413777 463794 541093 827554 1004887 1082186 1241331 1623279 2009774 2482662 3014661 3246558 6029322 7034209 14068418 21102627 42205254