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25625000 = 235741
BaseRepresentation
bin110000111000…
…0000110101000
31210012212220002
41201300012220
523030000000
62313122132
7430544312
oct141600650
953185802
1025625000
1113512495
1286b9348
13540282b
1435907b2
1523b28d5
hex18701a8

25625000 has 64 divisors (see below), whose sum is σ = 61523280. Its totient is φ = 10000000.

The previous prime is 25624961. The next prime is 25625029. The reversal of 25625000 is 52652.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 25623844 + 1156 = 5062^2 + 34^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 624980 + ... + 625020.

Almost surely, 225625000 is an apocalyptic number.

25625000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30761640).

25625000 is an abundant number, since it is smaller than the sum of its proper divisors (35898280).

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

25625000 is an frugal number, since it uses more digits than its factorization.

25625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 25625000 is about 5062.1141828291. The cubic root of 25625000 is about 294.8184269985.

Adding to 25625000 its reverse (52652), we get a palindrome (25677652).

It can be divided in two parts, 25 and 625000, that multiplied together give a cube (15625000 = 2503).

The spelling of 25625000 in words is "twenty-five million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 625 820 1000 1025 1250 1640 2050 2500 3125 4100 5000 5125 6250 8200 10250 12500 15625 20500 25000 25625 31250 41000 51250 62500 78125 102500 125000 128125 156250 205000 256250 312500 512500 625000 640625 1025000 1281250 2562500 3203125 5125000 6406250 12812500 25625000