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5642208 = 25321113137
BaseRepresentation
bin10101100001011111100000
3101121122122200
4111201133200
52421022313
6320533200
765646405
oct25413740
911548580
105642208
113204090
121a81200
1312271b0
14a6c2ac
15766b73
hex5617e0

5642208 has 144 divisors (see below), whose sum is σ = 18987696. Its totient is φ = 1566720.

The previous prime is 5642191. The next prime is 5642227. The reversal of 5642208 is 8022465.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×56422082 = 63669022230528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41116 + ... + 41252.

It is an arithmetic number, because the mean of its divisors is an integer number (131859).

Almost surely, 25642208 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 5642208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9493848).

5642208 is an abundant number, since it is smaller than the sum of its proper divisors (13345488).

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

5642208 is a wasteful number, since it uses less digits than its factorization.

5642208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5642208 is about 2375.3332397792. Note that the first 3 decimals coincide. The cubic root of 5642208 is about 178.0258347386.

It can be divided in two parts, 564 and 2208, that added together give a palindrome (2772).

The spelling of 5642208 in words is "five million, six hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 137 143 144 156 176 198 208 234 264 274 286 288 312 352 396 411 416 429 468 528 548 572 624 792 822 858 936 1056 1096 1144 1233 1248 1287 1507 1584 1644 1716 1781 1872 2192 2288 2466 2574 3014 3168 3288 3432 3562 3744 4384 4521 4576 4932 5148 5343 6028 6576 6864 7124 9042 9864 10296 10686 12056 13152 13563 13728 14248 16029 18084 19591 19728 20592 21372 24112 27126 28496 32058 36168 39182 39456 41184 42744 48224 54252 56992 58773 64116 72336 78364 85488 108504 117546 128232 144672 156728 170976 176319 217008 235092 256464 313456 352638 434016 470184 512928 626912 705276 940368 1410552 1880736 2821104 5642208