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63954 = 232111719
BaseRepresentation
bin1111100111010010
310020201200
433213102
54021304
61212030
7354312
oct174722
9106650
1063954
1144060
1231016
1323157
1419442
1513e39
hexf9d2

63954 has 48 divisors (see below), whose sum is σ = 168480. Its totient is φ = 17280.

The previous prime is 63949. The next prime is 63977. The reversal of 63954 is 45936.

It is a happy number.

It is a super-2 number, since 2×639542 = 8180228232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3357 + ... + 3375.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

263954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84240).

63954 is an abundant number, since it is smaller than the sum of its proper divisors (104526).

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

63954 is a wasteful number, since it uses less digits than its factorization.

63954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 52 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 63954 is about 252.8912809885. The cubic root of 63954 is about 39.9904143697.

The spelling of 63954 in words is "sixty-three thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 11 17 18 19 22 33 34 38 51 57 66 99 102 114 153 171 187 198 209 306 323 342 374 418 561 627 646 969 1122 1254 1683 1881 1938 2907 3366 3553 3762 5814 7106 10659 21318 31977 63954