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642453024 = 253431031511
BaseRepresentation
bin100110010010110…
…000111000100000
31122202212222212110
4212102300320200
52303431444044
6143425555320
721630521613
oct4622607040
91582788773
10642453024
112aa714514
1215b1a5b40
13a3140b25
146147817a
153b6066b9
hex264b0e20

642453024 has 96 divisors (see below), whose sum is σ = 1743565824. Its totient is φ = 207002880.

The previous prime is 642453013. The next prime is 642453029. The reversal of 642453024 is 420354246.

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

It is a junction number, because it is equal to n+sod(n) for n = 642452982 and 642453000.

It is not an unprimeable number, because it can be changed into a prime (642453029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424429 + ... + 425939.

It is an arithmetic number, because the mean of its divisors is an integer number (18162144).

Almost surely, 2642453024 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 642453024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871782912).

642453024 is an abundant number, since it is smaller than the sum of its proper divisors (1101112800).

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

642453024 is a wasteful number, since it uses less digits than its factorization.

642453024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 642453024 is about 25346.6570576871. The cubic root of 642453024 is about 862.8734889901.

The spelling of 642453024 in words is "six hundred forty-two million, four hundred fifty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 103 129 172 206 258 309 344 412 516 618 688 824 1032 1236 1376 1511 1648 2064 2472 3022 3296 4128 4429 4533 4944 6044 8858 9066 9888 12088 13287 17716 18132 24176 26574 35432 36264 48352 53148 64973 70864 72528 106296 129946 141728 145056 155633 194919 212592 259892 311266 389838 425184 466899 519784 622532 779676 933798 1039568 1245064 1559352 1867596 2079136 2490128 3118704 3735192 4980256 6237408 6692219 7470384 13384438 14940768 20076657 26768876 40153314 53537752 80306628 107075504 160613256 214151008 321226512 642453024