Search a number
-
+
425150720 = 2853747191
BaseRepresentation
bin11001010101110…
…100100100000000
31002121222220010222
4121111310210000
51332314310340
6110104242212
713351502321
oct3125644400
91077886128
10425150720
111a8a94035
12ba470368
136a109297
1440670448
15274d08b5
hex19574900

425150720 has 144 divisors (see below), whose sum is σ = 1073737728. Its totient is φ = 161095680.

The previous prime is 425150659. The next prime is 425150723. The reversal of 425150720 is 27051524.

It is a self number, because there is not a number n which added to its sum of digits gives 425150720.

It is not an unprimeable number, because it can be changed into a prime (425150723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2225825 + ... + 2226015.

It is an arithmetic number, because the mean of its divisors is an integer number (7456512).

Almost surely, 2425150720 is an apocalyptic number.

425150720 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 425150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536868864).

425150720 is an abundant number, since it is smaller than the sum of its proper divisors (648587008).

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

425150720 is a wasteful number, since it uses less digits than its factorization.

425150720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 425150720 is about 20619.1833009942. The cubic root of 425150720 is about 751.9361647941.

The spelling of 425150720 in words is "four hundred twenty-five million, one hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 47 64 74 80 94 128 148 160 185 188 191 235 256 296 320 370 376 382 470 592 640 740 752 764 940 955 1184 1280 1480 1504 1528 1739 1880 1910 2368 2960 3008 3056 3478 3760 3820 4736 5920 6016 6112 6956 7067 7520 7640 8695 8977 9472 11840 12032 12224 13912 14134 15040 15280 17390 17954 23680 24448 27824 28268 30080 30560 34780 35335 35908 44885 47360 48896 55648 56536 60160 61120 69560 70670 71816 89770 111296 113072 122240 139120 141340 143632 179540 222592 226144 244480 278240 282680 287264 332149 359080 445184 452288 556480 565360 574528 664298 718160 904576 1112960 1130720 1149056 1328596 1436320 1660745 1809152 2225920 2261440 2298112 2657192 2872640 3321490 4522880 5314384 5745280 6642980 9045760 10628768 11490560 13285960 21257536 26571920 42515072 53143840 85030144 106287680 212575360 425150720