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642423240 = 233259718397
BaseRepresentation
bin100110010010101…
…001100111001000
31122202211111000100
4212102221213020
52303430020430
6143425205400
721630336024
oct4622514710
91582744010
10642423240
112aa6a40a8
1215b190860
13a31303c4
146146b384
153b5ec960
hex264a99c8

642423240 has 96 divisors (see below), whose sum is σ = 2109514680. Its totient is φ = 169537536.

The previous prime is 642423239. The next prime is 642423289. The reversal of 642423240 is 42324246.

642423240 is a `hidden beast` number, since 6 + 424 + 232 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 602506116 + 39917124 = 24546^2 + 6318^2 .

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 23 ways as a sum of consecutive naturals, for example, 25722 + ... + 44118.

Almost surely, 2642423240 is an apocalyptic number.

642423240 is a gapful number since it is divisible by the number (60) 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 642423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054757340).

642423240 is an abundant number, since it is smaller than the sum of its proper divisors (1467091440).

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

642423240 is a wasteful number, since it uses less digits than its factorization.

642423240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18511 (or 18504 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 642423240 is about 25346.0695177773. The cubic root of 642423240 is about 862.8601545671.

Adding to 642423240 its reverse (42324246), we get a palindrome (684747486).

The spelling of 642423240 in words is "six hundred forty-two million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 776 873 970 1164 1455 1746 1940 2328 2910 3492 3880 4365 5820 6984 8730 11640 17460 18397 34920 36794 55191 73588 91985 110382 147176 165573 183970 220764 275955 331146 367940 441528 551910 662292 735880 827865 1103820 1324584 1655730 1784509 2207640 3311460 3569018 5353527 6622920 7138036 8922545 10707054 14276072 16060581 17845090 21414108 26767635 32121162 35690180 42828216 53535270 64242324 71380360 80302905 107070540 128484648 160605810 214141080 321211620 642423240