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804625000 = 235641157
BaseRepresentation
bin101111111101011…
…001101001101000
32002002001011222221
4233331121221220
53121441000000
6211501523424
725640125324
oct5775315150
92062034887
10804625000
1138320a743
121a5573574
13ca91208a
1478c10984
154a98c61a
hex2ff59a68

804625000 has 112 divisors (see below), whose sum is σ = 1944115740. Its totient is φ = 312000000.

The previous prime is 804624941. The next prime is 804625001. The reversal of 804625000 is 526408.

It can be written as a sum of positive squares in 14 ways, for example, as 803949316 + 675684 = 28354^2 + 822^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (804625001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5124922 + ... + 5125078.

Almost surely, 2804625000 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 804625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972057870).

804625000 is an abundant number, since it is smaller than the sum of its proper divisors (1139490740).

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

804625000 is an equidigital number, since it uses as much as digits as its factorization.

804625000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 804625000 is about 28365.9126417607. The cubic root of 804625000 is about 930.1032760014.

The spelling of 804625000 in words is "eight hundred four million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 157 164 200 205 250 314 328 410 500 625 628 785 820 1000 1025 1250 1256 1570 1640 2050 2500 3125 3140 3925 4100 5000 5125 6250 6280 6437 7850 8200 10250 12500 12874 15625 15700 19625 20500 25000 25625 25748 31250 31400 32185 39250 41000 51250 51496 62500 64370 78500 98125 102500 125000 128125 128740 157000 160925 196250 205000 256250 257480 321850 392500 490625 512500 640625 643700 785000 804625 981250 1025000 1281250 1287400 1609250 1962500 2453125 2562500 3218500 3925000 4023125 4906250 5125000 6437000 8046250 9812500 16092500 19625000 20115625 32185000 40231250 80462500 100578125 160925000 201156250 402312500 804625000