Search a number
-
+
2083952 = 241343233
BaseRepresentation
bin111111100110001110000
310220212122102
413330301300
51013141302
6112355532
723466443
oct7746160
93825572
102083952
1111a3782
12845ba8
1357c710
143c365a
152b2702
hex1fcc70

2083952 has 40 divisors (see below), whose sum is σ = 4468464. Its totient is φ = 935424.

The previous prime is 2083937. The next prime is 2083957. The reversal of 2083952 is 2593802.

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 (2083957) 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, 8828 + ... + 9060.

22083952 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 2083952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234232).

2083952 is an abundant number, since it is smaller than the sum of its proper divisors (2384512).

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

2083952 is a wasteful number, since it uses less digits than its factorization.

2083952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 2083952 is about 1443.5899694858. The cubic root of 2083952 is about 127.7308798838.

The spelling of 2083952 in words is "two million, eighty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 208 233 344 466 559 688 932 1118 1864 2236 3029 3728 4472 6058 8944 10019 12116 20038 24232 40076 48464 80152 130247 160304 260494 520988 1041976 2083952