Search a number
-
+
1000550152 = 237371074513
BaseRepresentation
bin111011101000110…
…010111100001000
32120201201012210001
4323220302330020
54022120101102
6243141132344
733536351560
oct7350627410
92521635701
101000550152
1147386a158
1223b0ba0b4
1312c3a0714
1496c51da0
155cc8e487
hex3ba32f08

1000550152 has 64 divisors (see below), whose sum is σ = 2223054720. Its totient is φ = 413227008.

The previous prime is 1000550149. The next prime is 1000550153. The reversal of 1000550152 is 2510550001.

1000550152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10005501522 = 2002201213334446208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000550153) 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, 219448 + ... + 223960.

It is an arithmetic number, because the mean of its divisors is an integer number (34735230).

Almost surely, 21000550152 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 1000550152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111527360).

1000550152 is an abundant number, since it is smaller than the sum of its proper divisors (1222504568).

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

1000550152 is a wasteful number, since it uses less digits than its factorization.

1000550152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 19.

The square root of 1000550152 is about 31631.4740725120. The cubic root of 1000550152 is about 1000.1833503806.

The spelling of 1000550152 in words is "one billion, five hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 37 56 74 107 148 214 259 296 428 518 749 856 1036 1498 2072 2996 3959 4513 5992 7918 9026 15836 18052 27713 31591 31672 36104 55426 63182 110852 126364 166981 221704 252728 333962 482891 667924 965782 1168867 1335848 1931564 2337734 3380237 3863128 4675468 6760474 9350936 13520948 17866967 27041896 35733934 71467868 125068769 142935736 250137538 500275076 1000550152