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2057856 = 27323233
BaseRepresentation
bin111110110011010000000
310212112211220
413312122000
51011322411
6112035040
723330403
oct7663200
93775756
102057856
111186109
12832a80
13570888
143b7d3a
152a9b06
hex1f6680

2057856 has 64 divisors (see below), whose sum is σ = 5728320. Its totient is φ = 653312.

The previous prime is 2057849. The next prime is 2057857. The reversal of 2057856 is 6587502.

It is a happy number.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8716 + ... + 8948.

It is an arithmetic number, because the mean of its divisors is an integer number (89505).

22057856 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 2057856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864160).

2057856 is an abundant number, since it is smaller than the sum of its proper divisors (3670464).

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

2057856 is a wasteful number, since it uses less digits than its factorization.

2057856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 2057856 is about 1434.5229172098. The cubic root of 2057856 is about 127.1954747016.

The spelling of 2057856 in words is "two million, fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 233 276 368 384 466 552 699 736 932 1104 1398 1472 1864 2208 2796 2944 3728 4416 5359 5592 7456 8832 10718 11184 14912 16077 21436 22368 29824 32154 42872 44736 64308 85744 89472 128616 171488 257232 342976 514464 685952 1028928 2057856