Search a number
-
+
995574944 = 2572133172
BaseRepresentation
bin111011010101110…
…100010010100000
32120101100110002002
4323111310102200
54014331344234
6242442343132
733446150600
oct7325642240
92511313062
10995574944
11470a81211
122394baaa8
1312b34b000
1496318c00
155c60a27e
hex3b5744a0

995574944 has 216 divisors, whose sum is σ = 2623800060. Its totient is φ = 370685952.

The previous prime is 995574929. The next prime is 995574991. The reversal of 995574944 is 449475599.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 10368400 + 985206544 = 3220^2 + 31388^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 995574944.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58563224 + ... + 58563240.

Almost surely, 2995574944 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 995574944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311900030).

995574944 is an abundant number, since it is smaller than the sum of its proper divisors (1628225116).

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

995574944 is a wasteful number, since it uses less digits than its factorization.

995574944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 39 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 56.

The square root of 995574944 is about 31552.7327501122. The cubic root of 995574944 is about 998.5228002888.

The spelling of 995574944 in words is "nine hundred ninety-five million, five hundred seventy-four thousand, nine hundred forty-four".