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642455424 = 27321342899
BaseRepresentation
bin100110010010110…
…001011110000000
31122202220010011100
4212102301132000
52303432033144
6143430014400
721630531612
oct4622613600
91582803140
10642455424
112aa7162a6
1215b1a7400
13a3141c50
1461478db2
153b607269
hex264b1780

642455424 has 96 divisors (see below), whose sum is σ = 1990989000. Its totient is φ = 197673984.

The previous prime is 642455423. The next prime is 642455447. The reversal of 642455424 is 424554246.

642455424 is a `hidden beast` number, since 64 + 24 + 554 + 24 = 666.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642455423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6474 + ... + 36425.

Almost surely, 2642455424 is an apocalyptic number.

642455424 is a gapful number since it is divisible by the number (64) 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 642455424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995494500).

642455424 is an abundant number, since it is smaller than the sum of its proper divisors (1348533576).

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

642455424 is a wasteful number, since it uses less digits than its factorization.

642455424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42932 (or 42917 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 642455424 is about 25346.7044011643. The cubic root of 642455424 is about 862.8745634623.

The spelling of 642455424 in words is "six hundred forty-two million, four hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 42899 85798 128697 171596 257394 343192 386091 514788 557687 686384 772182 1029576 1115374 1372768 1544364 1673061 2059152 2230748 2745536 3088728 3346122 4118304 4461496 5019183 5491072 6177456 6692244 8236608 8922992 10038366 12354912 13384488 16473216 17845984 20076732 24709824 26768976 35691968 40153464 49419648 53537952 71383936 80306928 107075904 160613856 214151808 321227712 642455424