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56660352 = 2737107197
BaseRepresentation
bin1101100000100…
…1000110000000
310221121122101120
43120021012000
5104001112402
65342232240
71255414350
oct330110600
9127548346
1056660352
1129a8a841
1216b85680
13b97ab48
14774cb60
154e933bc
hex3609180

56660352 has 128 divisors (see below), whose sum is σ = 174493440. Its totient is φ = 15955968.

The previous prime is 56660327. The next prime is 56660363. The reversal of 56660352 is 25306665.

It is a tau number, because it is divible by the number of its divisors (128).

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, 287518 + ... + 287714.

It is an arithmetic number, because the mean of its divisors is an integer number (1363230).

Almost surely, 256660352 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 56660352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87246720).

56660352 is an abundant number, since it is smaller than the sum of its proper divisors (117833088).

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

56660352 is a wasteful number, since it uses less digits than its factorization.

56660352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 56660352 is about 7527.3070881956. The cubic root of 56660352 is about 384.0841829324.

The spelling of 56660352 in words is "fifty-six million, six hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 128 168 192 197 214 224 321 336 384 394 428 448 591 642 672 749 788 856 896 1182 1284 1344 1379 1498 1576 1712 2247 2364 2568 2688 2758 2996 3152 3424 4137 4494 4728 5136 5516 5992 6304 6848 8274 8988 9456 10272 11032 11984 12608 13696 16548 17976 18912 20544 21079 22064 23968 25216 33096 35952 37824 41088 42158 44128 47936 63237 66192 71904 75648 84316 88256 95872 126474 132384 143808 147553 168632 176512 252948 264768 287616 295106 337264 442659 505896 529536 590212 674528 885318 1011792 1180424 1349056 1770636 2023584 2360848 2698112 3541272 4047168 4721696 7082544 8094336 9443392 14165088 18886784 28330176 56660352