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2096352 = 253229251
BaseRepresentation
bin111111111110011100000
310221111122200
413333303200
51014040402
6112533200
723550546
oct7776340
93844580
102096352
111202025
12851200
1358525b
143c7d96
152b621c
hex1ffce0

2096352 has 72 divisors (see below), whose sum is σ = 6191640. Its totient is φ = 672000.

The previous prime is 2096291. The next prime is 2096357. The reversal of 2096352 is 2536902.

2096352 is a `hidden beast` number, since 20 + 9 + 635 + 2 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2096357) 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, 8227 + ... + 8477.

It is an arithmetic number, because the mean of its divisors is an integer number (85995).

22096352 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 2096352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095820).

2096352 is an abundant number, since it is smaller than the sum of its proper divisors (4095288).

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

2096352 is a wasteful number, since it uses less digits than its factorization.

2096352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

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

The square root of 2096352 is about 1447.8784479368. The cubic root of 2096352 is about 127.9837218883.

It can be divided in two parts, 209 and 6352, that added together give a 8-th power (6561 = 38).

The spelling of 2096352 in words is "two million, ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 251 261 288 348 464 502 522 696 753 928 1004 1044 1392 1506 2008 2088 2259 2784 3012 4016 4176 4518 6024 7279 8032 8352 9036 12048 14558 18072 21837 24096 29116 36144 43674 58232 65511 72288 87348 116464 131022 174696 232928 262044 349392 524088 698784 1048176 2096352