Search a number
-
+
1229789952 = 283553373
BaseRepresentation
bin100100101001101…
…0001101100000000
310011201001210200000
41021103101230000
510004311234302
6322010400000
742322020306
oct11123215400
93151053600
101229789952
11581203436
122a3a30000
13167a24981
14b9486276
1572e7231c
hex494d1b00

1229789952 has 216 divisors, whose sum is σ = 3756536784. Its totient is φ = 401117184.

The previous prime is 1229789929. The next prime is 1229789969. The reversal of 1229789952 is 2599879221.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3296838 + ... + 3297210.

It is an arithmetic number, because the mean of its divisors is an integer number (17391374).

Almost surely, 21229789952 is an apocalyptic number.

1229789952 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 1229789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878268392).

1229789952 is an abundant number, since it is smaller than the sum of its proper divisors (2526746832).

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

1229789952 is an frugal number, since it uses more digits than its factorization.

1229789952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 431 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 1229789952 is about 35068.3611250939. The cubic root of 1229789952 is about 1071.3802759488.

The spelling of 1229789952 in words is "one billion, two hundred twenty-nine million, seven hundred eighty-nine thousand, nine hundred fifty-two".