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428980788 = 223217700949
BaseRepresentation
bin11001100100011…
…011101000110100
31002220012111000100
4121210123220310
51334304341123
6110322314100
713426163565
oct3144335064
91086174010
10428980788
1120016a685
12bb7b8930
136ab4a6b2
1440d8a16c
15279da643
hex1991ba34

428980788 has 36 divisors (see below), whose sum is σ = 1148156100. Its totient is φ = 134582016.

The previous prime is 428980787. The next prime is 428980807. The reversal of 428980788 is 887089824.

It can be written as a sum of positive squares in 2 ways, for example, as 242985744 + 185995044 = 15588^2 + 13638^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428980787) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349863 + ... + 351086.

It is an arithmetic number, because the mean of its divisors is an integer number (31893225).

Almost surely, 2428980788 is an apocalyptic number.

It is an amenable number.

428980788 is an abundant number, since it is smaller than the sum of its proper divisors (719175312).

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

428980788 is a wasteful number, since it uses less digits than its factorization.

428980788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700976 (or 700971 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 428980788 is about 20711.8513899651. The cubic root of 428980788 is about 754.1874145685.

The spelling of 428980788 in words is "four hundred twenty-eight million, nine hundred eighty thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 700949 1401898 2102847 2803796 4205694 6308541 8411388 11916133 12617082 23832266 25234164 35748399 47664532 71496798 107245197 142993596 214490394 428980788