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428169476 = 22737715821
BaseRepresentation
bin11001100001010…
…101100100000100
31002211200021002202
4121201111210010
51334102410401
6110253054032
713416244340
oct3141254404
91084607082
10428169476
111aa766079
12bb487318
136a925327
1440c18620
15278ca06b
hex19855904

428169476 has 48 divisors (see below), whose sum is σ = 892023552. Its totient is φ = 175996800.

The previous prime is 428169473. The next prime is 428169479. The reversal of 428169476 is 674961824.

It is an interprime number because it is at equal distance from previous prime (428169473) and next prime (428169479).

It is a super-2 number, since 2×4281694762 = 366658200356229152, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 428169476.

It is not an unprimeable number, because it can be changed into a prime (428169473) by changing a digit.

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, 70646 + ... + 76466.

It is an arithmetic number, because the mean of its divisors is an integer number (18583824).

Almost surely, 2428169476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428169476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446011776).

428169476 is an abundant number, since it is smaller than the sum of its proper divisors (463854076).

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

428169476 is a wasteful number, since it uses less digits than its factorization.

428169476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5940 (or 5938 counting only the distinct ones).

The product of its digits is 580608, while the sum is 47.

The square root of 428169476 is about 20692.2564260160. The cubic root of 428169476 is about 753.7116609809.

The spelling of 428169476 in words is "four hundred twenty-eight million, one hundred sixty-nine thousand, four hundred seventy-six".

Divisors: 1 2 4 7 14 28 37 71 74 142 148 259 284 497 518 994 1036 1988 2627 5254 5821 10508 11642 18389 23284 36778 40747 73556 81494 162988 215377 413291 430754 826582 861508 1507639 1653164 2893037 3015278 5786074 6030556 11572148 15291767 30583534 61167068 107042369 214084738 428169476