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52592640 = 21535107
BaseRepresentation
bin1100100010100…
…0000000000000
310122221222112120
43020220000000
5101430431030
65115124240
71206013212
oct310500000
9118858476
1052592640
11277616a1
1215743680
13ab85509
146db05b2
15493d010
hex3228000

52592640 has 128 divisors (see below), whose sum is σ = 169866720. Its totient is φ = 13893632.

The previous prime is 52592629. The next prime is 52592653. The reversal of 52592640 is 4629525.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 491467 + ... + 491573.

Almost surely, 252592640 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 52592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84933360).

52592640 is an abundant number, since it is smaller than the sum of its proper divisors (117274080).

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

52592640 is an equidigital number, since it uses as much as digits as its factorization.

52592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 52592640 is about 7252.0783227982. The cubic root of 52592640 is about 374.6637341130.

The spelling of 52592640 in words is "fifty-two million, five hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 120 128 160 192 214 240 256 320 321 384 428 480 512 535 640 642 768 856 960 1024 1070 1280 1284 1536 1605 1712 1920 2048 2140 2560 2568 3072 3210 3424 3840 4096 4280 5120 5136 6144 6420 6848 7680 8192 8560 10240 10272 12288 12840 13696 15360 16384 17120 20480 20544 24576 25680 27392 30720 32768 34240 40960 41088 49152 51360 54784 61440 68480 81920 82176 98304 102720 109568 122880 136960 163840 164352 205440 219136 245760 273920 328704 410880 438272 491520 547840 657408 821760 876544 1095680 1314816 1643520 1753088 2191360 2629632 3287040 3506176 4382720 5259264 6574080 8765440 10518528 13148160 17530880 26296320 52592640