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425676720 = 2435735171
BaseRepresentation
bin11001010111110…
…100111110110000
31002122222121200110
4121113310332300
51332433123340
6110123421320
713356123000
oct3127647660
91078877613
10425676720
111a9313247
12ba684840
136a261821
144076a000
1527586680
hex195f4fb0

425676720 has 160 divisors (see below), whose sum is σ = 1539187200. Its totient is φ = 97278720.

The previous prime is 425676689. The next prime is 425676743. The reversal of 425676720 is 27676524.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79735 + ... + 84905.

It is an arithmetic number, because the mean of its divisors is an integer number (9619920).

Almost surely, 2425676720 is an apocalyptic number.

425676720 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 425676720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769593600).

425676720 is an abundant number, since it is smaller than the sum of its proper divisors (1113510480).

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

425676720 is a wasteful number, since it uses less digits than its factorization.

425676720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 425676720 is about 20631.9344706210. The cubic root of 425676720 is about 752.2461375506.

The spelling of 425676720 in words is "four hundred twenty-five million, six hundred seventy-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 343 392 420 490 560 588 686 735 784 840 980 1029 1176 1372 1470 1680 1715 1960 2058 2352 2744 2940 3430 3920 4116 5145 5171 5488 5880 6860 8232 10290 10342 11760 13720 15513 16464 20580 20684 25855 27440 31026 36197 41160 41368 51710 62052 72394 77565 82320 82736 103420 108591 124104 144788 155130 180985 206840 217182 248208 253379 289576 310260 361970 413680 434364 506758 542955 579152 620520 723940 760137 868728 1013516 1085910 1241040 1266895 1447880 1520274 1737456 1773653 2027032 2171820 2533790 2895760 3040548 3547306 3800685 4054064 4343640 5067580 5320959 6081096 7094612 7601370 8687280 8868265 10135160 10641918 12162192 14189224 15202740 17736530 20270320 21283836 26604795 28378448 30405480 35473060 42567672 53209590 60810960 70946120 85135344 106419180 141892240 212838360 425676720