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427277136 = 243112135659
BaseRepresentation
bin11001011101111…
…011101101010000
31002202222221001010
4121131323231100
51333340332021
6110222010520
713405536636
oct3135735520
91082887033
10427277136
111aa206700
12bb116a40
136a6a2110
1440a65356
15277a0976
hex1977bb50

427277136 has 120 divisors (see below), whose sum is σ = 1306826080. Its totient is φ = 119496960.

The previous prime is 427277093. The next prime is 427277159. The reversal of 427277136 is 631772724.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 427277094 and 427277103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72675 + ... + 78333.

Almost surely, 2427277136 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 427277136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653413040).

427277136 is an abundant number, since it is smaller than the sum of its proper divisors (879548944).

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

427277136 is a wasteful number, since it uses less digits than its factorization.

427277136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705 (or 5688 counting only the distinct ones).

The product of its digits is 98784, while the sum is 39.

The square root of 427277136 is about 20670.6830075835. The cubic root of 427277136 is about 753.1876980245.

The spelling of 427277136 in words is "four hundred twenty-seven million, two hundred seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 121 132 143 156 176 208 242 264 286 312 363 429 484 528 572 624 726 858 968 1144 1452 1573 1716 1936 2288 2904 3146 3432 4719 5659 5808 6292 6864 9438 11318 12584 16977 18876 22636 25168 33954 37752 45272 62249 67908 73567 75504 90544 124498 135816 147134 186747 220701 248996 271632 294268 373494 441402 497992 588536 684739 746988 809237 882804 995984 1177072 1369478 1493976 1618474 1765608 2054217 2427711 2738956 2987952 3236948 3531216 4108434 4855422 5477912 6473896 8216868 8901607 9710844 10955824 12947792 16433736 17803214 19421688 26704821 32867472 35606428 38843376 53409642 71212856 106819284 142425712 213638568 427277136