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42431620 = 22571159467
BaseRepresentation
bin1010000111011…
…1010010000100
32221211202020111
42201313102010
541330302440
64113242404
71023443230
oct241672204
987752214
1042431620
1121a51560
1212263404
138a3858a
1458c75c0
153ad24ea
hex2877484

42431620 has 96 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 12973440.

The previous prime is 42431567. The next prime is 42431651. The reversal of 42431620 is 2613424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 42431591 and 42431600.

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 31 ways as a sum of consecutive naturals, for example, 90627 + ... + 91093.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 242431620 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 42431620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

42431620 is an abundant number, since it is smaller than the sum of its proper divisors (70786940).

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

42431620 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 42431620 = (12263404)12.

42431620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 42431620 is about 6513.9557873845. The cubic root of 42431620 is about 348.7893409369.

The spelling of 42431620 in words is "forty-two million, four hundred thirty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 59 70 77 110 118 140 154 220 236 295 308 385 413 467 590 649 770 826 934 1180 1298 1540 1652 1868 2065 2335 2596 3245 3269 4130 4543 4670 5137 6490 6538 8260 9086 9340 10274 12980 13076 16345 18172 20548 22715 25685 27553 32690 35959 45430 51370 55106 65380 71918 90860 102740 110212 137765 143836 179795 192871 275530 303083 359590 385742 551060 606166 719180 771484 964355 1212332 1515415 1928710 2121581 3030830 3857420 4243162 6061660 8486324 10607905 21215810 42431620