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5652096 = 27341359
BaseRepresentation
bin10101100011111010000000
3101122011012220
4111203322000
52421331341
6321051040
766020262
oct25437200
911564186
105652096
11321055a
121a86a80
13122b848
14a71b32
15769a66
hex563e80

5652096 has 64 divisors (see below), whose sum is σ = 15422400. Its totient is φ = 1832960.

The previous prime is 5652091. The next prime is 5652103. The reversal of 5652096 is 6902565.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5652091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15565 + ... + 15923.

It is an arithmetic number, because the mean of its divisors is an integer number (240975).

Almost surely, 25652096 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 5652096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711200).

5652096 is an abundant number, since it is smaller than the sum of its proper divisors (9770304).

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

5652096 is a wasteful number, since it uses less digits than its factorization.

5652096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 5652096 is about 2377.4137208319. The cubic root of 5652096 is about 178.1297711249.

It can be divided in two parts, 56520 and 96, that added together give a triangular number (56616 = T336).

The spelling of 5652096 in words is "five million, six hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 359 384 492 656 718 984 1077 1312 1436 1968 2154 2624 2872 3936 4308 5248 5744 7872 8616 11488 14719 15744 17232 22976 29438 34464 44157 45952 58876 68928 88314 117752 137856 176628 235504 353256 471008 706512 942016 1413024 1884032 2826048 5652096