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8472288 = 2531171113
BaseRepresentation
bin100000010100…
…011011100000
3120221102210110
4200110123200
54132103123
6501331320
7132004356
oct40243340
916842713
108472288
1148673a0
122a06b40
1319a83b6
1411a77d6
15b25493
hex8146e0

8472288 has 96 divisors (see below), whose sum is σ = 24820992. Its totient is φ = 2508800.

The previous prime is 8472259. The next prime is 8472293. The reversal of 8472288 is 8822748.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74920 + ... + 75032.

It is an arithmetic number, because the mean of its divisors is an integer number (258552).

Almost surely, 28472288 is an apocalyptic number.

8472288 is a gapful number since it is divisible by the number (88) 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 8472288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12410496).

8472288 is an abundant number, since it is smaller than the sum of its proper divisors (16348704).

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

8472288 is a wasteful number, since it uses less digits than its factorization.

8472288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 8472288 is about 2910.7194986807. The cubic root of 8472288 is about 203.8607276999.

The spelling of 8472288 in words is "eight million, four hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 113 132 142 176 213 226 264 284 339 352 426 452 528 568 678 781 852 904 1056 1136 1243 1356 1562 1704 1808 2272 2343 2486 2712 3124 3408 3616 3729 4686 4972 5424 6248 6816 7458 8023 9372 9944 10848 12496 14916 16046 18744 19888 24069 24992 29832 32092 37488 39776 48138 59664 64184 74976 88253 96276 119328 128368 176506 192552 256736 264759 353012 385104 529518 706024 770208 1059036 1412048 2118072 2824096 4236144 8472288