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26525000 = 23551061
BaseRepresentation
bin110010100101…
…1110101001000
31211220121110102
41211023311020
523242300000
62344304532
7441313235
oct145136510
954817412
1026525000
1113a77697
128a72148
135659388
14374678c
1524de3d5
hex194bd48

26525000 has 48 divisors (see below), whose sum is σ = 62222580. Its totient is φ = 10600000.

The previous prime is 26524973. The next prime is 26525017. The reversal of 26525000 is 52562.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1943236 + 24581764 = 1394^2 + 4958^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24470 + ... + 25530.

Almost surely, 226525000 is an apocalyptic number.

26525000 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 26525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31111290).

26525000 is an abundant number, since it is smaller than the sum of its proper divisors (35697580).

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

26525000 is an equidigital number, since it uses as much as digits as its factorization.

26525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1068 counting only the distinct ones).

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

The square root of 26525000 is about 5150.2427127272. The cubic root of 26525000 is about 298.2303220675.

Adding to 26525000 its reverse (52562), we get a palindrome (26577562).

The spelling of 26525000 in words is "twenty-six million, five hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1061 1250 2122 2500 3125 4244 5000 5305 6250 8488 10610 12500 21220 25000 26525 42440 53050 106100 132625 212200 265250 530500 663125 1061000 1326250 2652500 3315625 5305000 6631250 13262500 26525000