Search a number
-
+
427706048 = 26711229379
BaseRepresentation
bin11001011111100…
…100011011000000
31002210210201101202
4121133210123000
51333443043143
6110235120332
713412304260
oct3137443300
91083721352
10427706048
111aa479980
12bb2a30a8
136a7c2403
1440b377a0
1527837ab8
hex197e46c0

427706048 has 112 divisors (see below), whose sum is σ = 1065580800. Its totient is φ = 165473280.

The previous prime is 427706023. The next prime is 427706053. The reversal of 427706048 is 840607724.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1128323 + ... + 1128701.

Almost surely, 2427706048 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 427706048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532790400).

427706048 is an abundant number, since it is smaller than the sum of its proper divisors (637874752).

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

427706048 is a wasteful number, since it uses less digits than its factorization.

427706048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 427706048 is about 20681.0552922234. The cubic root of 427706048 is about 753.4396369335.

The spelling of 427706048 in words is "four hundred twenty-seven million, seven hundred six thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 229 308 352 379 448 458 616 704 758 916 1232 1516 1603 1832 2464 2519 2653 3032 3206 3664 4169 4928 5038 5306 6064 6412 7328 8338 10076 10612 12128 12824 14656 16676 17633 20152 21224 24256 25648 29183 33352 35266 40304 42448 51296 58366 66704 70532 80608 84896 86791 102592 116732 133408 141064 161216 169792 173582 233464 266816 282128 347164 466928 564256 607537 694328 933856 954701 1128512 1215074 1388656 1867712 1909402 2430148 2777312 3818804 4860296 5554624 6682907 7637608 9720592 13365814 15275216 19441184 26731628 30550432 38882368 53463256 61100864 106926512 213853024 427706048