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93952 = 28367
BaseRepresentation
bin10110111100000000
311202212201
4112330000
511001302
62002544
7540625
oct267400
9152781
1093952
1164651
1246454
13339c1
142634c
151cc87
hex16f00

93952 has 18 divisors (see below), whose sum is σ = 188048. Its totient is φ = 46848.

The previous prime is 93949. The next prime is 93967. The reversal of 93952 is 25939.

It is a self number, because there is not a number n which added to its sum of digits gives 93952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73 + ... + 439.

293952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94024).

93952 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

93952 is an equidigital number, since it uses as much as digits as its factorization.

93952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 369 counting only the distinct ones).

The product of its digits is 2430, while the sum is 28.

The square root of 93952 is about 306.5159049707. The cubic root of 93952 is about 45.4606188248.

It can be divided in two parts, 939 and 52, that multiplied together give a triangular number (48828 = T312).

The spelling of 93952 in words is "ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 367 734 1468 2936 5872 11744 23488 46976 93952