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2059392 = 27331173
BaseRepresentation
bin111110110110010000000
310212121221210
413312302000
51011400032
6112050120
723335026
oct7666200
93777853
102059392
111187285
12833940
1357149a
143b8716
152aa2cc
hex1f6c80

2059392 has 64 divisors (see below), whose sum is σ = 5679360. Its totient is φ = 660480.

The previous prime is 2059381. The next prime is 2059411. The reversal of 2059392 is 2939502.

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

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11818 + ... + 11990.

It is an arithmetic number, because the mean of its divisors is an integer number (88740).

22059392 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 2059392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839680).

2059392 is an abundant number, since it is smaller than the sum of its proper divisors (3619968).

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

2059392 is a wasteful number, since it uses less digits than its factorization.

2059392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 2059392 is about 1435.0581869736. The cubic root of 2059392 is about 127.2271134006.

The spelling of 2059392 in words is "two million, fifty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 173 186 192 248 346 372 384 496 519 692 744 992 1038 1384 1488 1984 2076 2768 2976 3968 4152 5363 5536 5952 8304 10726 11072 11904 16089 16608 21452 22144 32178 33216 42904 64356 66432 85808 128712 171616 257424 343232 514848 686464 1029696 2059392