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427470592 = 2841139293
BaseRepresentation
bin11001011110101…
…010111100000000
31002210100202102011
4121132222330000
51333413024332
6110230102304
713410303643
oct3136527400
91083322364
10427470592
111aa328a8a
12bb1aa994
136a73c1a3
1440ab5a5a
15277dce47
hex197aaf00

427470592 has 72 divisors (see below), whose sum is σ = 883375920. Its totient is φ = 206315520.

The previous prime is 427470577. The next prime is 427470619. The reversal of 427470592 is 295074724.

It is a super-2 number, since 2×4274705922 = 365462214049660928, which contains 22 as substring.

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, 1458798 + ... + 1459090.

It is an arithmetic number, because the mean of its divisors is an integer number (12269110).

Almost surely, 2427470592 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 427470592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441687960).

427470592 is an abundant number, since it is smaller than the sum of its proper divisors (455905328).

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

427470592 is a wasteful number, since it uses less digits than its factorization.

427470592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 427470592 is about 20675.3619557192. The cubic root of 427470592 is about 753.3013531381.

The spelling of 427470592 in words is "four hundred twenty-seven million, four hundred seventy thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 139 164 256 278 293 328 556 586 656 1112 1172 1312 2224 2344 2624 4448 4688 5248 5699 8896 9376 10496 11398 12013 17792 18752 22796 24026 35584 37504 40727 45592 48052 75008 81454 91184 96104 162908 182368 192208 325816 364736 384416 651632 729472 768832 1303264 1458944 1537664 1669807 2606528 3075328 3339614 5213056 6679228 10426112 13358456 26716912 53433824 106867648 213735296 427470592