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2095488 = 273217107
BaseRepresentation
bin111111111100110000000
310221110110200
413333212000
51014023423
6112525200
723545203
oct7774600
93843420
102095488
11120140a
12850800
13584a45
143c793a
152b5d43
hex1ff980

2095488 has 96 divisors (see below), whose sum is σ = 6444360. Its totient is φ = 651264.

The previous prime is 2095487. The next prime is 2095493. The reversal of 2095488 is 8845902.

2095488 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

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 (2095481) 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, 19531 + ... + 19637.

22095488 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 2095488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222180).

2095488 is an abundant number, since it is smaller than the sum of its proper divisors (4348872).

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

2095488 is a wasteful number, since it uses less digits than its factorization.

2095488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2095488 is about 1447.5800496000. The cubic root of 2095488 is about 127.9661368754.

The spelling of 2095488 in words is "two million, ninety-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 107 128 136 144 153 192 204 214 272 288 306 321 384 408 428 544 576 612 642 816 856 963 1088 1152 1224 1284 1632 1712 1819 1926 2176 2448 2568 3264 3424 3638 3852 4896 5136 5457 6528 6848 7276 7704 9792 10272 10914 13696 14552 15408 16371 19584 20544 21828 29104 30816 32742 41088 43656 58208 61632 65484 87312 116416 123264 130968 174624 232832 261936 349248 523872 698496 1047744 2095488