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2092788 = 223261953
BaseRepresentation
bin111111110111011110100
310221022202200
413332323310
51013432123
6112504500
723534265
oct7767364
93838680
102092788
1111aa385
1284b130
13583749
143c696c
152b5143
hex1feef4

2092788 has 36 divisors (see below), whose sum is σ = 5382468. Its totient is φ = 685440.

The previous prime is 2092777. The next prime is 2092799. The reversal of 2092788 is 8872902.

It is an interprime number because it is at equal distance from previous prime (2092777) and next prime (2092799).

It can be written as a sum of positive squares in 2 ways, for example, as 381924 + 1710864 = 618^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×20927882 = 8759523225888, which contains 22 as substring.

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

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, 1720 + ... + 2672.

It is an arithmetic number, because the mean of its divisors is an integer number (149513).

22092788 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 2092788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691234).

2092788 is an abundant number, since it is smaller than the sum of its proper divisors (3289680).

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

2092788 is a wasteful number, since it uses less digits than its factorization.

2092788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2092788 is about 1446.6471580866. The cubic root of 2092788 is about 127.9111525361.

The spelling of 2092788 in words is "two million, ninety-two thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 953 1098 1906 2196 2859 3812 5718 8577 11436 17154 34308 58133 116266 174399 232532 348798 523197 697596 1046394 2092788