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25427424 = 253113199
BaseRepresentation
bin110000011111…
…1110111100000
31202211211212110
41200333313200
523002134144
62304555320
7426062301
oct140776740
952754773
1025427424
1113398000
128622b40
135363919
14353c7a8
1523740b9
hex183fde0

25427424 has 96 divisors (see below), whose sum is σ = 73785600. Its totient is φ = 7666560.

The previous prime is 25427401. The next prime is 25427429. The reversal of 25427424 is 42472452.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 25427391 and 25427400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25427429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127677 + ... + 127875.

It is an arithmetic number, because the mean of its divisors is an integer number (768600).

Almost surely, 225427424 is an apocalyptic number.

25427424 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 25427424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36892800).

25427424 is an abundant number, since it is smaller than the sum of its proper divisors (48358176).

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

25427424 is a wasteful number, since it uses less digits than its factorization.

25427424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 215 counting only the distinct ones).

The product of its digits is 17920, while the sum is 30.

The square root of 25427424 is about 5042.5612539661. The cubic root of 25427424 is about 294.0587600632.

Adding to 25427424 its reverse (42472452), we get a palindrome (67899876).

It can be divided in two parts, 254 and 27424, that multiplied together give a palindrome (6965696).

The spelling of 25427424 in words is "twenty-five million, four hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 199 242 264 352 363 398 484 528 597 726 796 968 1056 1194 1331 1452 1592 1936 2189 2388 2662 2904 3184 3872 3993 4378 4776 5324 5808 6368 6567 7986 8756 9552 10648 11616 13134 15972 17512 19104 21296 24079 26268 31944 35024 42592 48158 52536 63888 70048 72237 96316 105072 127776 144474 192632 210144 264869 288948 385264 529738 577896 770528 794607 1059476 1155792 1589214 2118952 2311584 3178428 4237904 6356856 8475808 12713712 25427424