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428703121 = 71144789
BaseRepresentation
bin11001100011010…
…111110110010001
31002212200101010101
4121203113312101
51334221444441
6110312332401
713423626220
oct3143276621
91085611111
10428703121
111aaaa0000
12bb6a4101
136aa811b2
1440d16cb7
1527983231
hex198d7d91

428703121 has 40 divisors (see below), whose sum is σ = 556588800. Its totient is φ = 323273280.

The previous prime is 428703083. The next prime is 428703131. The reversal of 428703121 is 121307824.

428703121 is a nontrivial binomial coefficient, being equal to C(29282, 2).

It is not a de Polignac number, because 428703121 - 27 = 428702993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 428703121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428703131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4816845 + ... + 4816933.

It is an arithmetic number, because the mean of its divisors is an integer number (13914720).

Almost surely, 2428703121 is an apocalyptic number.

428703121 is the 29281-st triangular number and also the 14641-st hexagonal number.

428703121 is the 9761-st centered nonagonal number.

It is an amenable number.

428703121 is a deficient number, since it is larger than the sum of its proper divisors (127885679).

428703121 is an frugal number, since it uses more digits than its factorization.

428703121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 428703121 is about 20705.1472102953. The cubic root of 428703121 is about 754.0246581302.

It can be divided in two parts, 428703 and 121, that added together give a palindrome (428824).

The spelling of 428703121 in words is "four hundred twenty-eight million, seven hundred three thousand, one hundred twenty-one".

Divisors: 1 7 11 47 77 89 121 329 517 623 847 979 1331 3619 4183 5687 6853 9317 10769 14641 29281 39809 46013 62557 75383 102487 118459 322091 437899 506143 688127 829213 1303049 3543001 4816889 5567573 9121343 38973011 61243303 428703121