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5952096 = 2533832
BaseRepresentation
bin10110101101001001100000
3102012101202000
4112231021200
53010431341
6331324000
7101410023
oct26551140
912171660
105952096
1133a5997
121bb0600
131305267
14b0d1ba
157c88b6
hex5ad260

5952096 has 72 divisors (see below), whose sum is σ = 17571960. Its totient is φ = 1960128.

The previous prime is 5952083. The next prime is 5952113. The reversal of 5952096 is 6902595.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5952096.

It is a congruent number.

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, 71671 + ... + 71753.

It is an arithmetic number, because the mean of its divisors is an integer number (244055).

Almost surely, 25952096 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 5952096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8785980).

5952096 is an abundant number, since it is smaller than the sum of its proper divisors (11619864).

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

5952096 is an equidigital number, since it uses as much as digits as its factorization.

5952096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 5952096 is about 2439.6917838120. The cubic root of 5952096 is about 181.2271701725.

The spelling of 5952096 in words is "five million, nine hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 498 664 747 864 996 1328 1494 1992 2241 2656 2988 3984 4482 5976 6889 7968 8964 11952 13778 17928 20667 23904 27556 35856 41334 55112 62001 71712 82668 110224 124002 165336 186003 220448 248004 330672 372006 496008 661344 744012 992016 1488024 1984032 2976048 5952096