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63426 = 2311312
BaseRepresentation
bin1111011111000010
310020000010
433133002
54012201
61205350
7352626
oct173702
9106003
1063426
1143720
1230856
1322b3c
1419186
1513bd6
hexf7c2

63426 has 24 divisors (see below), whose sum is σ = 142992. Its totient is φ = 18600.

The previous prime is 63421. The next prime is 63439. The reversal of 63426 is 62436.

Subtracting from 63426 its reverse (62436), we obtain a triangular number (990 = T44).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 63426.

It is not an unprimeable number, because it can be changed into a prime (63421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2031 + ... + 2061.

It is an arithmetic number, because the mean of its divisors is an integer number (5958).

263426 is an apocalyptic number.

63426 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 63426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71496).

63426 is an abundant number, since it is smaller than the sum of its proper divisors (79566).

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

63426 is a wasteful number, since it uses less digits than its factorization.

With its successor (63427) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (78).

63426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 47 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 63426 is about 251.8451905437. The cubic root of 63426 is about 39.8800573703.

The spelling of 63426 in words is "sixty-three thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 961 1023 1922 2046 2883 5766 10571 21142 31713 63426