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5627520 = 27325977
BaseRepresentation
bin10101011101111010000000
3101120220111200
4111131322000
52420040040
6320341200
765555523
oct25357200
911526450
105627520
1131a4048
121a74800
1312205c2
14a66bba
15762630
hex55de80

5627520 has 96 divisors (see below), whose sum is σ = 19452420. Its totient is φ = 1499136.

The previous prime is 5627519. The next prime is 5627533. The reversal of 5627520 is 257265.

It can be written as a sum of positive squares in 2 ways, for example, as 5419584 + 207936 = 2328^2 + 456^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5272 + ... + 6248.

Almost surely, 25627520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9726210).

5627520 is an abundant number, since it is smaller than the sum of its proper divisors (13824900).

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

5627520 is a wasteful number, since it uses less digits than its factorization.

5627520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5627520 is about 2372.2394482851. The cubic root of 5627520 is about 177.8712193961.

The spelling of 5627520 in words is "five million, six hundred twenty-seven thousand, five hundred twenty".

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 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 977 1152 1440 1920 1954 2880 2931 3908 4885 5760 5862 7816 8793 9770 11724 14655 15632 17586 19540 23448 29310 31264 35172 39080 43965 46896 58620 62528 70344 78160 87930 93792 117240 125056 140688 156320 175860 187584 234480 281376 312640 351720 375168 468960 562752 625280 703440 937920 1125504 1406880 1875840 2813760 5627520