[go: up one dir, main page]

Search a number
-
+
1996849152 = 215333761
BaseRepresentation
bin111011100000101…
…1000000000000000
312011011102110002000
41313001120000000
513042143133102
6530051224000
7100324636434
oct16701300000
95134373060
101996849152
11935195361
124788a8000
1325a91315c
1414d2b89c4
15ba48e01c
hex77058000

1996849152 has 256 divisors, whose sum is σ = 6176018400. Its totient is φ = 637009920.

The previous prime is 1996849111. The next prime is 1996849157. The reversal of 1996849152 is 2519486991.

1996849152 is a `hidden beast` number, since 1 + 99 + 68 + 491 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1996849157) 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, 32735202 + ... + 32735262.

Almost surely, 21996849152 is an apocalyptic number.

1996849152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1996849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088009200).

1996849152 is an abundant number, since it is smaller than the sum of its proper divisors (4179169248).

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

1996849152 is an frugal number, since it uses more digits than its factorization.

1996849152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The square root of 1996849152 is about 44686.1181128994. The cubic root of 1996849152 is about 1259.2590655177.

It can be divided in two parts, 1996849 and 152, that added together give a triangular number (1997001 = T1998).

The spelling of 1996849152 in words is "one billion, nine hundred ninety-six million, eight hundred forty-nine thousand, one hundred fifty-two".