Search a number
-
+
425454240 = 25351723067
BaseRepresentation
bin11001010110111…
…110101010100000
31002122120022111110
4121112332222200
51332404013430
6110114543320
713354205241
oct3126765240
91078508443
10425454240
111a9181082
12ba597b40
136a1b4493
144070ccc8
15275407b0
hex195beaa0

425454240 has 144 divisors (see below), whose sum is σ = 1424116512. Its totient is φ = 106745856.

The previous prime is 425454233. The next prime is 425454241. The reversal of 425454240 is 42454524.

It is a super-2 number, since 2×4254542402 = 362022620667955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 425454198 and 425454207.

It is not an unprimeable number, because it can be changed into a prime (425454241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137187 + ... + 140253.

It is an arithmetic number, because the mean of its divisors is an integer number (9889698).

Almost surely, 2425454240 is an apocalyptic number.

425454240 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 425454240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712058256).

425454240 is an abundant number, since it is smaller than the sum of its proper divisors (998662272).

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

425454240 is a wasteful number, since it uses less digits than its factorization.

425454240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 425454240 is about 20626.5421241661. The cubic root of 425454240 is about 752.1150608609.

The spelling of 425454240 in words is "four hundred twenty-five million, four hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 289 340 408 480 510 544 578 680 816 867 1020 1156 1360 1445 1632 1734 2040 2312 2720 2890 3067 3468 4080 4335 4624 5780 6134 6936 8160 8670 9201 9248 11560 12268 13872 15335 17340 18402 23120 24536 27744 30670 34680 36804 46005 46240 49072 52139 61340 69360 73608 92010 98144 104278 122680 138720 147216 156417 184020 208556 245360 260695 294432 312834 368040 417112 490720 521390 625668 736080 782085 834224 886363 1042780 1251336 1472160 1564170 1668448 1772726 2085560 2502672 2659089 3128340 3545452 4171120 4431815 5005344 5318178 6256680 7090904 8342240 8863630 10636356 12513360 13295445 14181808 17727260 21272712 25026720 26590890 28363616 35454520 42545424 53181780 70909040 85090848 106363560 141818080 212727120 425454240