Search a number
-
+
2053447936 = 2831416311
BaseRepresentation
bin111101001100101…
…0010000100000000
312022002220222000021
41322121102010000
513201140313221
6535432303224
7101613006451
oct17231220400
95262828007
102053447936
11964132911
12493841b14
1326956bc67
14156a0d128
15c041e041
hex7a652100

2053447936 has 72 divisors (see below), whose sum is σ = 4334980608. Its totient is φ = 969216000.

The previous prime is 2053447931. The next prime is 2053447937. The reversal of 2053447936 is 6397443502.

It is a junction number, because it is equal to n+sod(n) for n = 2053447892 and 2053447901.

It is not an unprimeable number, because it can be changed into a prime (2053447931) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 322221 + ... + 328531.

It is an arithmetic number, because the mean of its divisors is an integer number (60208064).

Almost surely, 22053447936 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 2053447936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167490304).

2053447936 is an abundant number, since it is smaller than the sum of its proper divisors (2281532672).

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

2053447936 is an equidigital number, since it uses as much as digits as its factorization.

2053447936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6399 (or 6385 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 43.

The square root of 2053447936 is about 45314.9857773342. The cubic root of 2053447936 is about 1271.0458939631.

The spelling of 2053447936 in words is "two billion, fifty-three million, four hundred forty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 128 164 248 256 328 496 656 992 1271 1312 1984 2542 2624 3968 5084 5248 6311 7936 10168 10496 12622 20336 25244 40672 50488 81344 100976 162688 195641 201952 258751 325376 391282 403904 517502 782564 807808 1035004 1565128 1615616 2070008 3130256 4140016 6260512 8021281 8280032 12521024 16042562 16560064 25042048 32085124 33120128 50084096 64170248 66240256 128340496 256680992 513361984 1026723968 2053447936