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2009392 = 247211233
BaseRepresentation
bin111101010100100110000
310210002100221
413222210300
51003300032
6111022424
723036200
oct7524460
93702327
102009392
111152760
1280aa14
135547b8
143a4400
1529a597
hex1ea930

2009392 has 60 divisors (see below), whose sum is σ = 4961736. Its totient is φ = 779520.

The previous prime is 2009387. The next prime is 2009393. The reversal of 2009392 is 2939002.

It is not an unprimeable number, because it can be changed into a prime (2009393) 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, 8508 + ... + 8740.

22009392 is an apocalyptic number.

2009392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480868).

2009392 is an abundant number, since it is smaller than the sum of its proper divisors (2952344).

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

2009392 is a wasteful number, since it uses less digits than its factorization.

2009392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 2009392 is about 1417.5302465909. The cubic root of 2009392 is about 126.1890167196.

It can be divided in two parts, 2009 and 392, that added together give a 4-th power (2401 = 74).

The spelling of 2009392 in words is "two million, nine thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 233 308 392 466 539 616 784 932 1078 1232 1631 1864 2156 2563 3262 3728 4312 5126 6524 8624 10252 11417 13048 17941 20504 22834 26096 35882 41008 45668 71764 91336 125587 143528 182672 251174 287056 502348 1004696 2009392