Search a number
-
+
428994756 = 223247253543
BaseRepresentation
bin11001100100011…
…111000011000100
31002220020012011200
4121210133003010
51334310313011
6110322502500
713426252401
oct3144370304
91086205150
10428994756
1120017a123
12bb804a30
136ab53b68
1440d912a8
15279de856
hex1991f0c4

428994756 has 36 divisors (see below), whose sum is σ = 1107480192. Its totient is φ = 139955184.

The previous prime is 428994737. The next prime is 428994757. The reversal of 428994756 is 657499824.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (428994757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125080 + ... + 128463.

Almost surely, 2428994756 is an apocalyptic number.

It is an amenable number.

428994756 is an abundant number, since it is smaller than the sum of its proper divisors (678485436).

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

428994756 is a wasteful number, since it uses less digits than its factorization.

428994756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253600 (or 253595 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 428994756 is about 20712.1885854682. The cubic root of 428994756 is about 754.1956001530.

The spelling of 428994756 in words is "four hundred twenty-eight million, nine hundred ninety-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 253543 507086 760629 1014172 1521258 2281887 3042516 4563774 9127548 11916521 23833042 35749563 47666084 71499126 107248689 142998252 214497378 428994756