Search a number
-
+
28429570 = 2513297541
BaseRepresentation
bin110110001110…
…0110100000010
31222111101001001
41230130310002
524234221240
62453202214
7463435021
oct154346402
958441031
1028429570
1115058614
12963036a
135b75240
143ac08b8
15276889a
hex1b1cd02

28429570 has 32 divisors (see below), whose sum is σ = 57017520. Its totient is φ = 10133760.

The previous prime is 28429553. The next prime is 28429591. The reversal of 28429570 is 7592482.

28429570 is a nontrivial binomial coefficient, being equal to C(7541, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 2653641 + 25775929 = 1629^2 + 5077^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 7540.

Almost surely, 228429570 is an apocalyptic number.

28429570 is the 7540-th triangular number.

28429570 is the 2514-th centered nonagonal number.

28429570 is an abundant number, since it is smaller than the sum of its proper divisors (28587950).

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

28429570 is a wasteful number, since it uses less digits than its factorization.

28429570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 28429570 is about 5331.9386718153. The cubic root of 28429570 is about 305.2039127312.

The spelling of 28429570 in words is "twenty-eight million, four hundred twenty-nine thousand, five hundred seventy".

Divisors: 1 2 5 10 13 26 29 58 65 130 145 290 377 754 1885 3770 7541 15082 37705 75410 98033 196066 218689 437378 490165 980330 1093445 2186890 2842957 5685914 14214785 28429570