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42208404 = 22372233121
BaseRepresentation
bin1010000100000…
…0110010010100
32221102102001020
42201000302110
541301132104
64104401140
71021523400
oct241006224
987372036
1042208404
1121909887
12121761b0
13898aab4
14586a100
153a8b2d9
hex2840c94

42208404 has 72 divisors (see below), whose sum is σ = 119585088. Its totient is φ = 11531520.

The previous prime is 42208403. The next prime is 42208417. The reversal of 42208404 is 40480224.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42208403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11964 + ... + 15084.

It is an arithmetic number, because the mean of its divisors is an integer number (1660904).

Almost surely, 242208404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42208404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59792544).

42208404 is an abundant number, since it is smaller than the sum of its proper divisors (77376684).

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

42208404 is a wasteful number, since it uses less digits than its factorization.

42208404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 42208404 is about 6496.7995197636. The cubic root of 42208404 is about 348.1766509663.

Adding to 42208404 its reverse (40480224), we get a palindrome (82688628).

The spelling of 42208404 in words is "forty-two million, two hundred eight thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 966 1127 1932 2254 3121 3381 4508 6242 6762 9363 12484 13524 18726 21847 37452 43694 65541 71783 87388 131082 143566 152929 215349 262164 287132 305858 430698 458787 502481 611716 861396 917574 1004962 1507443 1835148 2009924 3014886 3517367 6029772 7034734 10552101 14069468 21104202 42208404