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427367538 = 232132373797
BaseRepresentation
bin11001011110010…
…001110001110010
31002210011112001100
4121132101301302
51333401230123
6110223545230
713406364333
oct3136216162
91083145040
10427367538
111aa268614
12bb15b216
136a704300
1440a8a28a
15277bc643
hex19791c72

427367538 has 72 divisors (see below), whose sum is σ = 1030040388. Its totient is φ = 127910016.

The previous prime is 427367537. The next prime is 427367543. The reversal of 427367538 is 835763724.

427367538 is a `hidden beast` number, since 42 + 73 + 6 + 7 + 538 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 34257609 + 393109929 = 5853^2 + 19827^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 427367493 and 427367502.

It is not an unprimeable number, because it can be changed into a prime (427367533) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110656 + ... + 114452.

Almost surely, 2427367538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427367538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515020194).

427367538 is an abundant number, since it is smaller than the sum of its proper divisors (602672850).

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

427367538 is a wasteful number, since it uses less digits than its factorization.

427367538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3852 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 427367538 is about 20672.8696121269. The cubic root of 427367538 is about 753.2408133347.

The spelling of 427367538 in words is "four hundred twenty-seven million, three hundred sixty-seven thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 169 222 234 333 338 481 507 666 962 1014 1443 1521 2886 3042 3797 4329 6253 7594 8658 11391 12506 18759 22782 34173 37518 49361 56277 68346 98722 112554 140489 148083 280978 296166 421467 444249 641693 842934 888498 1264401 1283386 1826357 1925079 2528802 3652714 3850158 5479071 5775237 10958142 11550474 16437213 23742641 32874426 47485282 71227923 142455846 213683769 427367538