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428179540 = 22537578621
BaseRepresentation
bin11001100001011…
…000000001010100
31002211200202220111
4121201120001110
51334103221130
6110253212404
713416315565
oct3141300124
91084622814
10428179540
111aa772698
12bb491104
136a929a99
1440c1c16c
15278cd02a
hex19858054

428179540 has 24 divisors (see below), whose sum is σ = 923480712. Its totient is φ = 166642560.

The previous prime is 428179511. The next prime is 428179547. The reversal of 428179540 is 45971824.

It can be written as a sum of positive squares in 4 ways, for example, as 26337424 + 401842116 = 5132^2 + 20046^2 .

It is a super-2 number, since 2×4281795402 = 366675436949223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 428179493 and 428179502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428179547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288571 + ... + 290050.

It is an arithmetic number, because the mean of its divisors is an integer number (38478363).

Almost surely, 2428179540 is an apocalyptic number.

It is an amenable number.

428179540 is an abundant number, since it is smaller than the sum of its proper divisors (495301172).

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

428179540 is a wasteful number, since it uses less digits than its factorization.

428179540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578667 (or 578665 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 428179540 is about 20692.4996073457. The cubic root of 428179540 is about 753.7175661930.

The spelling of 428179540 in words is "four hundred twenty-eight million, one hundred seventy-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 578621 1157242 2314484 2893105 5786210 11572420 21408977 42817954 85635908 107044885 214089770 428179540