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428161167 = 33721719037
BaseRepresentation
bin11001100001010…
…011100010001111
31002211122211201000
4121201103202033
51334102124132
6110252551343
713416211200
oct3141234217
91084584630
10428161167
111aa75a905
12bb482553
136a921605
1440c155a7
15278c787c
hex1985388f

428161167 has 48 divisors (see below), whose sum is σ = 781319520. Its totient is φ = 230259456.

The previous prime is 428161163. The next prime is 428161177. The reversal of 428161167 is 761161824.

It is a happy number.

It is not a de Polignac number, because 428161167 - 22 = 428161163 is a prime.

It is a super-3 number, since 3×4281611673 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428161163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12973 + ... + 32009.

It is an arithmetic number, because the mean of its divisors is an integer number (16277490).

Almost surely, 2428161167 is an apocalyptic number.

428161167 is a deficient number, since it is larger than the sum of its proper divisors (353158353).

428161167 is a wasteful number, since it uses less digits than its factorization.

428161167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19077 (or 19064 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 428161167 is about 20692.0556494516. The cubic root of 428161167 is about 753.7067854732.

The spelling of 428161167 in words is "four hundred twenty-eight million, one hundred sixty-one thousand, one hundred sixty-seven".

Divisors: 1 3 7 9 17 21 27 49 51 63 119 147 153 189 357 441 459 833 1071 1323 2499 3213 7497 19037 22491 57111 133259 171333 323629 399777 513999 932813 970887 1199331 2265403 2798439 2912661 3597993 6796209 8395317 8737983 15857821 20388627 25185951 47573463 61165881 142720389 428161167