Search a number
-
+
425583720 = 23345235711
BaseRepresentation
bin11001010111011…
…110010001101000
31002122210220010000
4121113132101220
51332422134340
6110121423000
713355254602
oct3127362150
91078726100
10425583720
111a925a391
12ba63aa60
136a22b3b3
1440744172
1527568d30
hex195de468

425583720 has 160 divisors (see below), whose sum is σ = 1492888320. Its totient is φ = 108535680.

The previous prime is 425583703. The next prime is 425583733. The reversal of 425583720 is 27385524.

425583720 is a `hidden beast` number, since 4 + 2 + 5 + 583 + 72 + 0 = 666.

It is a super-2 number, since 2×4255837202 = 362243005458076800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71665 + ... + 77375.

It is an arithmetic number, because the mean of its divisors is an integer number (9330552).

Almost surely, 2425583720 is an apocalyptic number.

425583720 is a gapful number since it is divisible by the number (40) 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 425583720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746444160).

425583720 is an abundant number, since it is smaller than the sum of its proper divisors (1067304600).

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

425583720 is a wasteful number, since it uses less digits than its factorization.

425583720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 425583720 is about 20629.6805598148. The cubic root of 425583720 is about 752.1913510715.

The spelling of 425583720 in words is "four hundred twenty-five million, five hundred eighty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 81 90 92 108 115 120 135 138 162 180 184 207 216 230 270 276 324 345 360 405 414 460 540 552 621 648 690 810 828 920 1035 1080 1242 1380 1620 1656 1863 2070 2484 2760 3105 3240 3726 4140 4968 5711 6210 7452 8280 9315 11422 12420 14904 17133 18630 22844 24840 28555 34266 37260 45688 51399 57110 68532 74520 85665 102798 114220 131353 137064 154197 171330 205596 228440 256995 262706 308394 342660 394059 411192 462591 513990 525412 616788 656765 685320 770985 788118 925182 1027980 1050824 1182177 1233576 1313530 1541970 1576236 1850364 1970295 2055960 2312955 2364354 2627060 3083940 3152472 3546531 3700728 3940590 4625910 4728708 5254120 5910885 6167880 7093062 7881180 9251820 9457416 10639593 11821770 14186124 15762360 17732655 18503640 21279186 23643540 28372248 35465310 42558372 47287080 53197965 70930620 85116744 106395930 141861240 212791860 425583720