Search a number
-
+
2093952 = 27371941
BaseRepresentation
bin111111111001110000000
310221101100210
413333032000
51014001302
6112514120
723540550
oct7771600
93841323
102093952
111200243
1284b940
13584133
143c7160
152b566c
hex1ff380

2093952 has 128 divisors (see below), whose sum is σ = 6854400. Its totient is φ = 552960.

The previous prime is 2093929. The next prime is 2093953. The reversal of 2093952 is 2593902.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51052 + ... + 51092.

It is an arithmetic number, because the mean of its divisors is an integer number (53550).

22093952 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 2093952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427200).

2093952 is an abundant number, since it is smaller than the sum of its proper divisors (4760448).

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

2093952 is a wasteful number, since it uses less digits than its factorization.

2093952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 72 counting only the distinct ones).

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

The square root of 2093952 is about 1447.0494117341. The cubic root of 2093952 is about 127.9348626915.

The spelling of 2093952 in words is "two million, ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 41 42 48 56 57 64 76 82 84 96 112 114 123 128 133 152 164 168 192 224 228 246 266 287 304 328 336 384 399 448 456 492 532 574 608 656 672 779 798 861 896 912 984 1064 1148 1216 1312 1344 1558 1596 1722 1824 1968 2128 2296 2337 2432 2624 2688 3116 3192 3444 3648 3936 4256 4592 4674 5248 5453 6232 6384 6888 7296 7872 8512 9184 9348 10906 12464 12768 13776 15744 16359 17024 18368 18696 21812 24928 25536 27552 32718 36736 37392 43624 49856 51072 55104 65436 74784 87248 99712 110208 130872 149568 174496 261744 299136 348992 523488 697984 1046976 2093952