Search a number
-
+
427660272 = 243213228451
BaseRepresentation
bin11001011111011…
…001001111110000
31002210201101121100
4121133121033300
51333440112042
6110234124400
713412023644
oct3137311760
91083641540
10427660272
111aa448546
12bb280700
136a7a7620
1440b24c24
152782924c
hex197d93f0

427660272 has 60 divisors (see below), whose sum is σ = 1288926184. Its totient is φ = 131587200.

The previous prime is 427660271. The next prime is 427660297. The reversal of 427660272 is 272066724.

427660272 is a `hidden beast` number, since 42 + 7 + 6 + 602 + 7 + 2 = 666.

It is a super-2 number, since 2×4276602722 = 365786616494227968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427660271) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 112354 + ... + 116097.

Almost surely, 2427660272 is an apocalyptic number.

It is an amenable number.

427660272 is an abundant number, since it is smaller than the sum of its proper divisors (861265912).

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

427660272 is a wasteful number, since it uses less digits than its factorization.

427660272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228478 (or 228469 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 427660272 is about 20679.9485492590. The cubic root of 427660272 is about 753.4127565691.

The spelling of 427660272 in words is "four hundred twenty-seven million, six hundred sixty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 228451 456902 685353 913804 1370706 1827608 2056059 2741412 2969863 3655216 4112118 5482824 5939726 8224236 8909589 10965648 11879452 16448472 17819178 23758904 26728767 32896944 35638356 47517808 53457534 71276712 106915068 142553424 213830136 427660272