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2056432 = 24724361
BaseRepresentation
bin111110110000011110000
310212110220011
413312003300
51011301212
6112024304
723323300
oct7660360
93773804
102056432
111185034
12832094
13570031
143b7600
152a94a7
hex1f60f0

2056432 has 60 divisors (see below), whose sum is σ = 4820376. Its totient is φ = 846720.

The previous prime is 2056421. The next prime is 2056441. The reversal of 2056432 is 2346502.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33682 + ... + 33742.

22056432 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 2056432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410188).

2056432 is an abundant number, since it is smaller than the sum of its proper divisors (2763944).

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

2056432 is a wasteful number, since it uses less digits than its factorization.

2056432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2056432 is about 1434.0264990578. The cubic root of 2056432 is about 127.1661289244.

The spelling of 2056432 in words is "two million, fifty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 61 86 98 112 122 172 196 244 301 344 392 427 488 602 688 784 854 976 1204 1708 2107 2408 2623 2989 3416 4214 4816 5246 5978 6832 8428 10492 11956 16856 18361 20984 23912 33712 36722 41968 47824 73444 128527 146888 257054 293776 514108 1028216 2056432