Search a number
-
+
8552149242 = 237213192931131
BaseRepresentation
bin1111111011011111…
…10111000011111010
3211002000101012021020
413331233313003322
5120003322233432
63532342123310
7421634032500
oct77557670372
924060335236
108552149242
11369951333a
1217a8120536
13a63a56950
145b1b56670
15350c1522c
hex1fdbf70fa

8552149242 has 384 divisors, whose sum is σ = 24269414400. Its totient is φ = 1981324800.

The previous prime is 8552149241. The next prime is 8552149259. The reversal of 8552149242 is 2429412558.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8552149194 and 8552149203.

It is not an unprimeable number, because it can be changed into a prime (8552149241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65283517 + ... + 65283647.

It is an arithmetic number, because the mean of its divisors is an integer number (63201600).

Almost surely, 28552149242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8552149242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12134707200).

8552149242 is an abundant number, since it is smaller than the sum of its proper divisors (15717265158).

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

8552149242 is a wasteful number, since it uses less digits than its factorization.

8552149242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 235 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 8552149242 is about 92477.8310839955. The cubic root of 8552149242 is about 2044.9926763287.

The spelling of 8552149242 in words is "eight billion, five hundred fifty-two million, one hundred forty-nine thousand, two hundred forty-two".