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25434144 = 2532471879
BaseRepresentation
bin110000100000…
…1100000100000
31202212012002100
41201001200200
523002343034
62305050400
7426121011
oct141014040
952765070
1025434144
11133a205a
128626a00
1353669b8
143541008
152376099
hex1841820

25434144 has 72 divisors (see below), whose sum is σ = 73906560. Its totient is φ = 8293248.

The previous prime is 25434127. The next prime is 25434161. The reversal of 25434144 is 44143452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25434127) and next prime (25434161).

It is a tau number, because it is divible by the number of its divisors (72).

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, 12597 + ... + 14475.

It is an arithmetic number, because the mean of its divisors is an integer number (1026480).

Almost surely, 225434144 is an apocalyptic number.

25434144 is a gapful number since it is divisible by the number (24) 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 25434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36953280).

25434144 is an abundant number, since it is smaller than the sum of its proper divisors (48472416).

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

25434144 is a wasteful number, since it uses less digits than its factorization.

25434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1931 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 25434144 is about 5043.2275379959. The cubic root of 25434144 is about 294.0846625536.

Adding to 25434144 its reverse (44143452), we get a palindrome (69577596).

The spelling of 25434144 in words is "twenty-five million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 1879 2256 3384 3758 4512 5637 6768 7516 11274 13536 15032 16911 22548 30064 33822 45096 60128 67644 88313 90192 135288 176626 180384 264939 270576 353252 529878 541152 706504 794817 1059756 1413008 1589634 2119512 2826016 3179268 4239024 6358536 8478048 12717072 25434144