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9425784420 = 223251317092357
BaseRepresentation
bin10001100011101001…
…00000111001100100
3220022220021110102200
420301310200321210
5123301000100140
64155151134500
7452402563023
oct106164407144
926286243380
109425784420
113aa7678388
1219b0814430
13b72a4bb40
14655bac8ba
153a2785030
hex231d20e64

9425784420 has 144 divisors (see below), whose sum is σ = 30821983920. Its totient is φ = 2317851648.

The previous prime is 9425784409. The next prime is 9425784451. The reversal of 9425784420 is 244875249.

It can be written as a sum of positive squares in 8 ways, for example, as 3068273664 + 6357510756 = 55392^2 + 79734^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3997882 + ... + 4000238.

It is an arithmetic number, because the mean of its divisors is an integer number (214041555).

Almost surely, 29425784420 is an apocalyptic number.

9425784420 is a gapful number since it is divisible by the number (90) 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 9425784420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410991960).

9425784420 is an abundant number, since it is smaller than the sum of its proper divisors (21396199500).

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

9425784420 is a wasteful number, since it uses less digits than its factorization.

9425784420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 9425784420 is about 97086.4790792209. The cubic root of 9425784420 is about 2112.3822079671.

The spelling of 9425784420 in words is "nine billion, four hundred twenty-five million, seven hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1709 2340 2357 3418 4714 5127 6836 7071 8545 9428 10254 11785 14142 15381 17090 20508 21213 22217 23570 25635 28284 30641 30762 34180 35355 42426 44434 47140 51270 61282 61524 66651 70710 76905 84852 88868 91923 102540 106065 111085 122564 133302 141420 153205 153810 183846 199953 212130 222170 266604 275769 306410 307620 333255 367692 399906 424260 444340 459615 551538 612820 666510 799812 919230 999765 1103076 1333020 1378845 1838460 1999530 2757690 3999060 4028113 5515380 8056226 12084339 16112452 20140565 24168678 36253017 40281130 48337356 52365469 60421695 72506034 80562260 104730938 120843390 145012068 157096407 181265085 209461876 241686780 261827345 314192814 362530170 471289221 523654690 628385628 725060340 785482035 942578442 1047309380 1570964070 1885156884 2356446105 3141928140 4712892210 9425784420