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42102522 = 23271137821
BaseRepresentation
bin1010000010011…
…0111011111010
32221020000210200
42200212323322
541234240042
64102223030
71020602610
oct240467372
987200720
1042102522
1121847280
1212124a76
138951847
14583d6b0
153a69c4c
hex2826efa

42102522 has 96 divisors (see below), whose sum is σ = 116947584. Its totient is φ = 10627200.

The previous prime is 42102521. The next prime is 42102527. The reversal of 42102522 is 22520124.

42102522 is a `hidden beast` number, since 42 + 102 + 522 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42102495 and 42102504.

It is not an unprimeable number, because it can be changed into a prime (42102521) 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, 50872 + ... + 51692.

It is an arithmetic number, because the mean of its divisors is an integer number (1218204).

Almost surely, 242102522 is an apocalyptic number.

42102522 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42102522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58473792).

42102522 is an abundant number, since it is smaller than the sum of its proper divisors (74845062).

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

42102522 is a wasteful number, since it uses less digits than its factorization.

42102522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 881 counting only the distinct ones).

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

The square root of 42102522 is about 6488.6456213913. The cubic root of 42102522 is about 347.8852673700.

Adding to 42102522 its reverse (22520124), we get a palindrome (64622646).

It can be divided in two parts, 42102 and 522, that added together give a palindrome (42624).

The spelling of 42102522 in words is "forty-two million, one hundred two thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 37 42 63 66 74 77 99 111 126 154 198 222 231 259 333 407 462 518 666 693 777 814 821 1221 1386 1554 1642 2331 2442 2463 2849 3663 4662 4926 5698 5747 7326 7389 8547 9031 11494 14778 17094 17241 18062 25641 27093 30377 34482 51282 51723 54186 60754 63217 81279 91131 103446 126434 162558 182262 189651 212639 273393 334147 379302 425278 546786 568953 637917 668294 1002441 1137906 1275834 1913751 2004882 2339029 3007323 3827502 4678058 6014646 7017087 14034174 21051261 42102522