Search a number
-
+
947999052 = 2234711133779
BaseRepresentation
bin111000100000010…
…101000101001100
32110001211100020000
4320200111011030
53420141432202
6234022524300
732330600430
oct7040250514
92401740200
10947999052
114471367a0
12225596690
131215310b0
148dc929c0
155835d91c
hex3881514c

947999052 has 480 divisors, whose sum is σ = 3460638720. Its totient is φ = 218350080.

The previous prime is 947999021. The next prime is 947999057. The reversal of 947999052 is 250999749.

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

It is a self number, because there is not a number n which added to its sum of digits gives 947999052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (947999057) 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 159 ways as a sum of consecutive naturals, for example, 11999949 + ... + 12000027.

It is an arithmetic number, because the mean of its divisors is an integer number (7209664).

Almost surely, 2947999052 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 947999052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730319360).

947999052 is an abundant number, since it is smaller than the sum of its proper divisors (2512639668).

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

947999052 is a wasteful number, since it uses less digits than its factorization.

947999052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The square root of 947999052 is about 30789.5932418731. The cubic root of 947999052 is about 982.3569024156.

It can be divided in two parts, 947 and 999052, that added together give a palindrome (999999).

The spelling of 947999052 in words is "nine hundred forty-seven million, nine hundred ninety-nine thousand, fifty-two".