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5271552 = 212321113
BaseRepresentation
bin10100000111000000000000
3100220211012200
4110013000000
52322142202
6304553200
762543646
oct24070000
910824180
105271552
112a80660
121922800
131127580
149b3196
156e1e1c
hex507000

5271552 has 156 divisors (see below), whose sum is σ = 17889144. Its totient is φ = 1474560.

The previous prime is 5271551. The next prime is 5271557. The reversal of 5271552 is 2551725.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (156).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5271551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405498 + ... + 405510.

It is an arithmetic number, because the mean of its divisors is an integer number (114674).

Almost surely, 25271552 is an apocalyptic number.

5271552 is a gapful number since it is divisible by the number (52) 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 5271552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8944572).

5271552 is an abundant number, since it is smaller than the sum of its proper divisors (12617592).

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

5271552 is a wasteful number, since it uses less digits than its factorization.

5271552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 29 counting only the distinct ones).

The product of its digits is 3500, while the sum is 27.

The square root of 5271552 is about 2295.9860626755. The cubic root of 5271552 is about 174.0388339799.

The spelling of 5271552 in words is "five million, two hundred seventy-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 64 66 72 78 88 96 99 104 117 128 132 143 144 156 176 192 198 208 234 256 264 286 288 312 352 384 396 416 429 468 512 528 572 576 624 704 768 792 832 858 936 1024 1056 1144 1152 1248 1287 1408 1536 1584 1664 1716 1872 2048 2112 2288 2304 2496 2574 2816 3072 3168 3328 3432 3744 4096 4224 4576 4608 4992 5148 5632 6144 6336 6656 6864 7488 8448 9152 9216 9984 10296 11264 12288 12672 13312 13728 14976 16896 18304 18432 19968 20592 22528 25344 26624 27456 29952 33792 36608 36864 39936 41184 45056 50688 53248 54912 59904 67584 73216 79872 82368 101376 109824 119808 135168 146432 159744 164736 202752 219648 239616 292864 329472 405504 439296 479232 585728 658944 878592 1317888 1757184 2635776 5271552