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428051778 = 23711284229
BaseRepresentation
bin11001100000111…
…000110101000010
31002211110021122120
4121200320311002
51334040124103
6110250345110
713415244240
oct3140706502
91084407576
10428051778
111aa695700
12bb42b196
136a8b389b
1440bc7790
15278a5253
hex19838d42

428051778 has 48 divisors (see below), whose sum is σ = 1075448640. Its totient is φ = 111180960.

The previous prime is 428051777. The next prime is 428051807. The reversal of 428051778 is 877150824.

It is a super-2 number, since 2×4280517782 = 366456649297922568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428051773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37033 + ... + 47196.

It is an arithmetic number, because the mean of its divisors is an integer number (22405180).

Almost surely, 2428051778 is an apocalyptic number.

428051778 is an abundant number, since it is smaller than the sum of its proper divisors (647396862).

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

428051778 is a wasteful number, since it uses less digits than its factorization.

428051778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84263 (or 84252 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 428051778 is about 20689.4122197804. The cubic root of 428051778 is about 753.6425929368.

The spelling of 428051778 in words is "four hundred twenty-eight million, fifty-one thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 5082 84229 168458 252687 505374 589603 926519 1179206 1768809 1853038 2779557 3537618 5559114 6485633 10191709 12971266 19456899 20383418 30575127 38913798 61150254 71341963 142683926 214025889 428051778