Search a number
-
+
427681053 = 34173143233
BaseRepresentation
bin11001011111011…
…110010100011101
31002210202110010000
4121133132110131
51333441243203
6110234404513
713412141352
oct3137362435
91083673100
10427681053
111aa462118
12bb290739
136a7b3c17
1440b2c629
15278304a3
hex197de51d

427681053 has 80 divisors (see below), whose sum is σ = 717590016. Its totient is φ = 252564480.

The previous prime is 427681043. The next prime is 427681057. The reversal of 427681053 is 350186724.

It is not a de Polignac number, because 427681053 - 212 = 427676957 is a prime.

It is a super-2 number, since 2×4276810532 = 365822166190377618, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 427680999 and 427681017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427681057) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1835425 + ... + 1835657.

Almost surely, 2427681053 is an apocalyptic number.

427681053 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

427681053 is a deficient number, since it is larger than the sum of its proper divisors (289908963).

427681053 is a wasteful number, since it uses less digits than its factorization.

427681053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 427681053 is about 20680.4509863784. The cubic root of 427681053 is about 753.4249597265.

The spelling of 427681053 in words is "four hundred twenty-seven million, six hundred eighty-one thousand, fifty-three".

Divisors: 1 3 9 17 27 31 43 51 81 93 129 153 233 279 387 459 527 699 731 837 1161 1333 1377 1581 2097 2193 2511 3483 3961 3999 4743 6291 6579 7223 10019 11883 11997 14229 18873 19737 21669 22661 30057 35649 35991 42687 59211 65007 67983 90171 106947 107973 122791 170323 195021 203949 270513 310589 320841 368373 510969 585063 611847 811539 931767 1105119 1532907 1835541 2795301 3315357 4598721 5280013 8385903 9946071 13796163 15840039 25157709 47520117 142560351 427681053