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2056608 = 253237193
BaseRepresentation
bin111110110000110100000
310212111010200
413312012200
51011302413
6112025200
723323641
oct7660640
93774120
102056608
111185184
12832200
13570138
143b76c8
152a9573
hex1f61a0

2056608 has 72 divisors (see below), whose sum is σ = 6037668. Its totient is φ = 663552.

The previous prime is 2056603. The next prime is 2056627. The reversal of 2056608 is 8066502.

2056608 is a `hidden beast` number, since 2 + 0 + 56 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2039184 + 17424 = 1428^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2056603) 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, 10560 + ... + 10752.

22056608 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 2056608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018834).

2056608 is an abundant number, since it is smaller than the sum of its proper divisors (3981060).

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

2056608 is a wasteful number, since it uses less digits than its factorization.

2056608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2056608 is about 1434.0878634170. The cubic root of 2056608 is about 127.1697566641.

The spelling of 2056608 in words is "two million, fifty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 193 222 288 296 333 386 444 579 592 666 772 888 1158 1184 1332 1544 1737 1776 2316 2664 3088 3474 3552 4632 5328 6176 6948 7141 9264 10656 13896 14282 18528 21423 27792 28564 42846 55584 57128 64269 85692 114256 128538 171384 228512 257076 342768 514152 685536 1028304 2056608