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643235424 = 253131927127
BaseRepresentation
bin100110010101101…
…111111001100000
31122211100202010020
4212111233321200
52304132013144
6143454433440
721640260636
oct4625577140
91584322106
10643235424
113000a9327
1215b502880
13a3355ca0
14615dd356
153b70d419
hex2656fe60

643235424 has 96 divisors (see below), whose sum is σ = 1914151680. Its totient is φ = 187494912.

The previous prime is 643235393. The next prime is 643235431. The reversal of 643235424 is 424532346.

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

643235424 is a modest number, since divided by 35424 gives 6432 as remainder.

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, 10149 + ... + 37275.

It is an arithmetic number, because the mean of its divisors is an integer number (19939080).

Almost surely, 2643235424 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 643235424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957075840).

643235424 is an abundant number, since it is smaller than the sum of its proper divisors (1270916256).

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

643235424 is a wasteful number, since it uses less digits than its factorization.

643235424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27172 (or 27164 counting only the distinct ones).

The product of its digits is 69120, while the sum is 33.

The square root of 643235424 is about 25362.0863495100. The cubic root of 643235424 is about 863.2236252751.

The spelling of 643235424 in words is "six hundred forty-three million, two hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 23712 27127 54254 81381 108508 162762 217016 325524 352651 434032 515413 651048 705302 868064 1030826 1057953 1302096 1410604 1546239 2061652 2115906 2604192 2821208 3092478 4123304 4231812 5642416 6184956 6700369 8246608 8463624 11284832 12369912 13400738 16493216 16927248 20101107 24739824 26801476 33854496 40202214 49479648 53602952 80404428 107205904 160808856 214411808 321617712 643235424