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42208224 = 2532915161
BaseRepresentation
bin1010000100000…
…0101111100000
32221102101210120
42201000233200
541301130344
64104400240
71021523022
oct241005740
987371716
1042208224
1121909733
1212176080
13898a9a6
14586a012
153a8b219
hex2840be0

42208224 has 48 divisors (see below), whose sum is σ = 114624720. Its totient is φ = 13583360.

The previous prime is 42208219. The next prime is 42208237. The reversal of 42208224 is 42280224.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42208194 and 42208203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4797 + ... + 10364.

It is an arithmetic number, because the mean of its divisors is an integer number (2388015).

Almost surely, 242208224 is an apocalyptic number.

It is an amenable number.

42208224 is an abundant number, since it is smaller than the sum of its proper divisors (72416496).

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

42208224 is a wasteful number, since it uses less digits than its factorization.

42208224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15203 (or 15195 counting only the distinct ones).

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

The square root of 42208224 is about 6496.7856667740. The cubic root of 42208224 is about 348.1761560263.

Adding to 42208224 its reverse (42280224), we get a palindrome (84488448).

The spelling of 42208224 in words is "forty-two million, two hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 15161 30322 45483 60644 90966 121288 181932 242576 363864 439669 485152 727728 879338 1319007 1455456 1758676 2638014 3517352 5276028 7034704 10552056 14069408 21104112 42208224