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442589368 = 231322343331
BaseRepresentation
bin11010011000010…
…110000010111000
31010211210212110211
4122120112002320
51401300324433
6111530120504
713652643004
oct3230260270
91124725424
10442589368
11207914a41
12104280134
1370903900
1442acd704
1528cc78cd
hex1a6160b8

442589368 has 96 divisors (see below), whose sum is σ = 962375040. Its totient is φ = 190270080.

The previous prime is 442589359. The next prime is 442589417. The reversal of 442589368 is 863985244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336963 + ... + 1337293.

It is an arithmetic number, because the mean of its divisors is an integer number (10024740).

Almost surely, 2442589368 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 442589368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481187520).

442589368 is an abundant number, since it is smaller than the sum of its proper divisors (519785672).

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

442589368 is a wasteful number, since it uses less digits than its factorization.

442589368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 412 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 49.

The square root of 442589368 is about 21037.8080607272. The cubic root of 442589368 is about 762.0795814772.

The spelling of 442589368 in words is "four hundred forty-two million, five hundred eighty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 23 26 43 46 52 86 92 104 169 172 184 299 331 338 344 559 598 662 676 989 1118 1196 1324 1352 1978 2236 2392 2648 3887 3956 4303 4472 7267 7613 7774 7912 8606 12857 14233 14534 15226 15548 17212 25714 28466 29068 30452 31096 34424 51428 55939 56932 58136 60904 98969 102856 111878 113864 167141 185029 197938 223756 327359 334282 370058 395876 447512 654718 668564 740116 791752 1286597 1309436 1337128 1480232 2405377 2573194 2618872 4255667 4810754 5146388 8511334 9621508 10292776 17022668 19243016 34045336 55323671 110647342 221294684 442589368