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925000000 = 265837
BaseRepresentation
bin110111001000100…
…110000101000000
32101110112212110021
4313020212011000
53343300000000
6231441543224
731631241001
oct6710460500
92343485407
10925000000
11435158211
12219944b14
1311983a8a2
148abc71a8
155631911a
hex37226140

925000000 has 126 divisors (see below), whose sum is σ = 2356444106. Its totient is φ = 360000000.

The previous prime is 924999991. The next prime is 925000001. The reversal of 925000000 is 529.

Adding to 925000000 its reverse (529), we get a palindrome (925000529).

It can be divided in two parts, 9 and 25000000, that multiplied together give a square (225000000 = 150002).

It can be written as a sum of positive squares in 9 ways, for example, as 511121664 + 413878336 = 22608^2 + 20344^2 .

It is a sliding number, since 925000000 = 125000000 + 800000000 and 1/125000000 + 1/800000000 = 0.00000000925000000.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (925000001) 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 17 ways as a sum of consecutive naturals, for example, 24999982 + ... + 25000018.

Almost surely, 2925000000 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 925000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178222053).

925000000 is an abundant number, since it is smaller than the sum of its proper divisors (1431444106).

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

925000000 is an frugal number, since it uses more digits than its factorization.

925000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 925000000 is about 30413.8126514911. The cubic root of 925000000 is about 974.3475801873.

The spelling of 925000000 in words is "nine hundred twenty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 148 160 185 200 250 296 320 370 400 500 592 625 740 800 925 1000 1184 1250 1480 1600 1850 2000 2368 2500 2960 3125 3700 4000 4625 5000 5920 6250 7400 8000 9250 10000 11840 12500 14800 15625 18500 20000 23125 25000 29600 31250 37000 40000 46250 50000 59200 62500 74000 78125 92500 100000 115625 125000 148000 156250 185000 200000 231250 250000 296000 312500 370000 390625 462500 500000 578125 625000 740000 781250 925000 1000000 1156250 1250000 1480000 1562500 1850000 2312500 2500000 2890625 3125000 3700000 4625000 5000000 5781250 6250000 7400000 9250000 11562500 12500000 14453125 18500000 23125000 25000000 28906250 37000000 46250000 57812500 92500000 115625000 185000000 231250000 462500000 925000000