Search a number
-
+
642960500 = 225371321087
BaseRepresentation
bin100110010100101…
…100110001110100
31122210211202222212
4212110230301310
52304044214000
6143444512552
721635034260
oct4624546164
91583752885
10642960500
112aaa30816
1215b3ab758
13a328ab00
146156b0a0
153b6a6c35
hex2652cc74

642960500 has 144 divisors (see below), whose sum is σ = 1739372544. Its totient is φ = 203299200.

The previous prime is 642960499. The next prime is 642960503. The reversal of 642960500 is 5069246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642960503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 590957 + ... + 592043.

It is an arithmetic number, because the mean of its divisors is an integer number (12078976).

Almost surely, 2642960500 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 642960500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869686272).

642960500 is an abundant number, since it is smaller than the sum of its proper divisors (1096412044).

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

642960500 is a wasteful number, since it uses less digits than its factorization.

642960500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 642960500 is about 25356.6657902809. The cubic root of 642960500 is about 863.1006248400.

The spelling of 642960500 in words is "six hundred forty-two million, nine hundred sixty thousand, five hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 125 130 140 169 175 182 250 260 325 338 350 364 455 500 650 676 700 845 875 910 1087 1183 1300 1625 1690 1750 1820 2174 2275 2366 3250 3380 3500 4225 4348 4550 4732 5435 5915 6500 7609 8450 9100 10870 11375 11830 14131 15218 16900 21125 21740 22750 23660 27175 28262 29575 30436 38045 42250 45500 54350 56524 59150 70655 76090 84500 98917 108700 118300 135875 141310 147875 152180 183703 190225 197834 271750 282620 295750 353275 367406 380450 395668 494585 543500 591500 706550 734812 760900 918515 951125 989170 1285921 1413100 1766375 1837030 1902250 1978340 2472925 2571842 3532750 3674060 3804500 4592575 4945850 5143684 6429605 7065500 9185150 9891700 12364625 12859210 18370300 22962875 24729250 25718420 32148025 45925750 49458500 64296050 91851500 128592100 160740125 321480250 642960500