Search a number
-
+
1025004972 = 223731497853
BaseRepresentation
bin111101000110000…
…101010110101100
32122102201122111010
4331012011112230
54044400124342
6245413225220
734254253455
oct7506052654
92572648433
101025004972
11486652452
12247332210
13134483724
149a1ba12c
155eec029c
hex3d1855ac

1025004972 has 48 divisors (see below), whose sum is σ = 2441023200. Its totient is φ = 334683648.

The previous prime is 1025004941. The next prime is 1025005019. The reversal of 1025004972 is 2794005201.

1025004972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126598 + ... + 134450.

It is an arithmetic number, because the mean of its divisors is an integer number (50854650).

Almost surely, 21025004972 is an apocalyptic number.

1025004972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1025004972 is an abundant number, since it is smaller than the sum of its proper divisors (1416018228).

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

1025004972 is a wasteful number, since it uses less digits than its factorization.

1025004972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8082 (or 8080 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1025004972 is about 32015.6988366645. The cubic root of 1025004972 is about 1008.2664678805.

The spelling of 1025004972 in words is "one billion, twenty-five million, four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 73 146 149 219 292 298 438 447 596 876 894 1788 7853 10877 15706 21754 23559 31412 32631 43508 47118 65262 94236 130524 573269 1146538 1170097 1719807 2293076 2340194 3439614 3510291 4680388 6879228 7020582 14041164 85417081 170834162 256251243 341668324 512502486 1025004972