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42010254 = 232111319859
BaseRepresentation
bin1010000001000…
…0011010001110
32221001100020100
42200100122032
541223312004
64100231530
71020036606
oct240203216
987040210
1042010254
1121793a20
121209b5a6
13891b850
145817c06
153a4c739
hex281068e

42010254 has 96 divisors (see below), whose sum is σ = 112694400. Its totient is φ = 11119680.

The previous prime is 42010253. The next prime is 42010261. The reversal of 42010254 is 45201024.

It is a super-2 number, since 2×420102542 = 3529722882289032, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42010253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48477 + ... + 49335.

It is an arithmetic number, because the mean of its divisors is an integer number (1173900).

Almost surely, 242010254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42010254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56347200).

42010254 is an abundant number, since it is smaller than the sum of its proper divisors (70684146).

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

42010254 is a wasteful number, since it uses less digits than its factorization.

42010254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42010254 is about 6481.5317634028. The cubic root of 42010254 is about 347.6309504227.

Adding to 42010254 its reverse (45201024), we get a palindrome (87211278).

The spelling of 42010254 in words is "forty-two million, ten thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 33 38 39 57 66 78 99 114 117 143 171 198 209 234 247 286 342 418 429 494 627 741 858 859 1254 1287 1482 1718 1881 2223 2574 2577 2717 3762 4446 5154 5434 7731 8151 9449 11167 15462 16302 16321 18898 22334 24453 28347 32642 33501 48906 48963 56694 67002 85041 97926 100503 122837 146889 170082 179531 201006 212173 245674 293778 359062 368511 424346 538593 636519 737022 1077186 1105533 1273038 1615779 1909557 2211066 2333903 3231558 3819114 4667806 7001709 14003418 21005127 42010254