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25620480 = 212325139
BaseRepresentation
bin110000110111…
…1000000000000
31210012122200200
41201233000000
523024323410
62313045200
7430525164
oct141570000
953178620
1025620480
111350a056
1286b6800
135400762
14358cca4
1523b13c0
hex186f000

25620480 has 156 divisors (see below), whose sum is σ = 89445720. Its totient is φ = 6782976.

The previous prime is 25620473. The next prime is 25620481. The reversal of 25620480 is 8402652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25620481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184251 + ... + 184389.

It is an arithmetic number, because the mean of its divisors is an integer number (573370).

Almost surely, 225620480 is an apocalyptic number.

25620480 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 25620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44722860).

25620480 is an abundant number, since it is smaller than the sum of its proper divisors (63825240).

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

25620480 is a wasteful number, since it uses less digits than its factorization.

25620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 25620480 is about 5061.6677093622. The cubic root of 25620480 is about 294.8010916145.

It can be divided in two parts, 256 and 20480, that added together give a 4-th power (20736 = 124).

The spelling of 25620480 in words is "twenty-five million, six hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 139 144 160 180 192 240 256 278 288 320 360 384 417 480 512 556 576 640 695 720 768 834 960 1024 1112 1152 1251 1280 1390 1440 1536 1668 1920 2048 2085 2224 2304 2502 2560 2780 2880 3072 3336 3840 4096 4170 4448 4608 5004 5120 5560 5760 6144 6255 6672 7680 8340 8896 9216 10008 10240 11120 11520 12288 12510 13344 15360 16680 17792 18432 20016 20480 22240 23040 25020 26688 30720 33360 35584 36864 40032 44480 46080 50040 53376 61440 66720 71168 80064 88960 92160 100080 106752 133440 142336 160128 177920 184320 200160 213504 266880 284672 320256 355840 400320 427008 533760 569344 640512 711680 800640 854016 1067520 1281024 1423360 1601280 1708032 2135040 2562048 2846720 3202560 4270080 5124096 6405120 8540160 12810240 25620480