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427474440 = 233251187429
BaseRepresentation
bin11001011110101…
…011111000001000
31002210100221200200
4121132223320020
51333413140230
6110230132200
713410321111
oct3136537010
91083327620
10427474440
111aa330968
12bb1b1060
136a740b73
1440ab7208
15277de160
hex197abe08

427474440 has 48 divisors (see below), whose sum is σ = 1389293100. Its totient is φ = 113993088.

The previous prime is 427474427. The next prime is 427474459. The reversal of 427474440 is 44474724.

It can be written as a sum of positive squares in 2 ways, for example, as 418366116 + 9108324 = 20454^2 + 3018^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 427474395 and 427474404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 593355 + ... + 594074.

Almost surely, 2427474440 is an apocalyptic number.

427474440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427474440 is an abundant number, since it is smaller than the sum of its proper divisors (961818660).

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

427474440 is a wasteful number, since it uses less digits than its factorization.

427474440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187446 (or 1187439 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 36.

The square root of 427474440 is about 20675.4550131309. The cubic root of 427474440 is about 753.3036134846.

The spelling of 427474440 in words is "four hundred twenty-seven million, four hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1187429 2374858 3562287 4749716 5937145 7124574 9499432 10686861 11874290 14249148 17811435 21373722 23748580 28498296 35622870 42747444 47497160 53434305 71245740 85494888 106868610 142491480 213737220 427474440