Search a number
-
+
426577008 = 2431113292143
BaseRepresentation
bin11001011011010…
…000110001110000
31002201200100122110
4121123100301300
51333200431013
6110155005320
713366562514
oct3133206160
91081610573
10426577008
111a9878690
12baa39840
136a4b8540
1440922144
15276b32c3
hex196d0c70

426577008 has 160 divisors (see below), whose sum is σ = 1339914240. Its totient is φ = 115153920.

The previous prime is 426577001. The next prime is 426577027. The reversal of 426577008 is 800775624.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426577001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 197985 + ... + 200127.

It is an arithmetic number, because the mean of its divisors is an integer number (8374464).

Almost surely, 2426577008 is an apocalyptic number.

426577008 is a gapful number since it is divisible by the number (48) 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 426577008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669957120).

426577008 is an abundant number, since it is smaller than the sum of its proper divisors (913337232).

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

426577008 is a wasteful number, since it uses less digits than its factorization.

426577008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 426577008 is about 20653.7407749783. The cubic root of 426577008 is about 752.7760868884.

The spelling of 426577008 in words is "four hundred twenty-six million, five hundred seventy-seven thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 29 33 39 44 48 52 58 66 78 87 88 104 116 132 143 156 174 176 208 232 264 286 312 319 348 377 429 464 528 572 624 638 696 754 858 957 1131 1144 1276 1392 1508 1716 1914 2143 2262 2288 2552 3016 3432 3828 4147 4286 4524 5104 6032 6429 6864 7656 8294 8572 9048 12441 12858 15312 16588 17144 18096 23573 24882 25716 27859 33176 34288 47146 49764 51432 55718 62147 66352 70719 83577 94292 99528 102864 111436 124294 141438 167154 186441 188584 199056 222872 248588 282876 306449 334308 372882 377168 445744 497176 565752 612898 668616 683617 745764 807911 919347 994352 1131504 1225796 1337232 1367234 1491528 1615822 1838694 2050851 2423733 2451592 2734468 2983056 3231644 3677388 4101702 4847466 4903184 5468936 6463288 7354776 8203404 8887021 9694932 10937872 12926576 14709552 16406808 17774042 19389864 26661063 32813616 35548084 38779728 53322126 71096168 106644252 142192336 213288504 426577008