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20624352 = 253747653
BaseRepresentation
bin100111010101…
…1001111100000
31102210211021220
41032223033200
520234434402
62014015040
7340206210
oct116531740
942724256
1020624352
1110707421
126aa7480
134371678
142a4c240
151c25dbc
hex13ab3e0

20624352 has 96 divisors (see below), whose sum is σ = 63286272. Its totient is φ = 5758464.

The previous prime is 20624347. The next prime is 20624363. The reversal of 20624352 is 25342602.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31258 + ... + 31910.

It is an arithmetic number, because the mean of its divisors is an integer number (659232).

Almost surely, 220624352 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 20624352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31643136).

20624352 is an abundant number, since it is smaller than the sum of its proper divisors (42661920).

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

20624352 is a wasteful number, since it uses less digits than its factorization.

20624352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 20624352 is about 4541.4041881339. The cubic root of 20624352 is about 274.2374555474.

Adding to 20624352 its reverse (25342602), we get a palindrome (45966954).

The spelling of 20624352 in words is "twenty million, six hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 376 564 653 658 672 752 987 1128 1306 1316 1504 1959 1974 2256 2612 2632 3918 3948 4512 4571 5224 5264 7836 7896 9142 10448 10528 13713 15672 15792 18284 20896 27426 30691 31344 31584 36568 54852 61382 62688 73136 92073 109704 122764 146272 184146 214837 219408 245528 368292 429674 438816 491056 644511 736584 859348 982112 1289022 1473168 1718696 2578044 2946336 3437392 5156088 6874784 10312176 20624352