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425892240 = 24325619697
BaseRepresentation
bin11001011000101…
…001100110010000
31002200101120022200
4121120221212100
51333012022430
6110132203200
713361011224
oct3130514620
91080346280
10425892240
111a9450164
12ba769500
136a308957
14407c4784
15275ca460
hex19629990

425892240 has 120 divisors (see below), whose sum is σ = 1453885368. Its totient is φ = 111697920.

The previous prime is 425892227. The next prime is 425892281. The reversal of 425892240 is 42298524.

425892240 is a `hidden beast` number, since 425 + 8 + 9 + 224 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15586704 + 410305536 = 3948^2 + 20256^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 425892195 and 425892204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39072 + ... + 48768.

Almost surely, 2425892240 is an apocalyptic number.

425892240 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 425892240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726942684).

425892240 is an abundant number, since it is smaller than the sum of its proper divisors (1027993128).

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

425892240 is a wasteful number, since it uses less digits than its factorization.

425892240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9777 (or 9768 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 425892240 is about 20637.1567809134. The cubic root of 425892240 is about 752.3730701315.

The spelling of 425892240 in words is "four hundred twenty-five million, eight hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1220 1464 1830 2196 2440 2745 2928 3660 4392 4880 5490 7320 8784 9697 10980 14640 19394 21960 29091 38788 43920 48485 58182 77576 87273 96970 116364 145455 155152 174546 193940 232728 290910 349092 387880 436365 465456 581820 591517 698184 775760 872730 1163640 1183034 1396368 1745460 1774551 2327280 2366068 2957585 3490920 3549102 4732136 5323653 5915170 6981840 7098204 8872755 9464272 10647306 11830340 14196408 17745510 21294612 23660680 26618265 28392816 35491020 42589224 47321360 53236530 70982040 85178448 106473060 141964080 212946120 425892240