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42223584 = 25313231471
BaseRepresentation
bin1010000100010…
…0011111100000
32221110011212110
42201010133200
541302123314
64104555320
71021615554
oct241043740
987404773
1042223584
112191a227
1212182b40
138994990
145871864
153a90a59
hex28447e0

42223584 has 96 divisors (see below), whose sum is σ = 124637184. Its totient is φ = 12418560.

The previous prime is 42223583. The next prime is 42223609. The reversal of 42223584 is 48532224.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42223583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27969 + ... + 29439.

It is an arithmetic number, because the mean of its divisors is an integer number (1298304).

Almost surely, 242223584 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 42223584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62318592).

42223584 is an abundant number, since it is smaller than the sum of its proper divisors (82413600).

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

42223584 is a wasteful number, since it uses less digits than its factorization.

42223584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1512 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 42223584 is about 6497.9676822834. The cubic root of 42223584 is about 348.2183858467.

The spelling of 42223584 in words is "forty-two million, two hundred twenty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 736 897 1104 1196 1248 1471 1794 2208 2392 2942 3588 4413 4784 5884 7176 8826 9568 11768 14352 17652 19123 23536 28704 33833 35304 38246 47072 57369 67666 70608 76492 101499 114738 135332 141216 152984 202998 229476 270664 305968 405996 439829 458952 541328 611936 811992 879658 917904 1082656 1319487 1623984 1759316 1835808 2638974 3247968 3518632 5277948 7037264 10555896 14074528 21111792 42223584