Search a number
-
+
426215580 = 223573727427
BaseRepresentation
bin11001011001111…
…000100010011100
31002200222222212020
4121121320202130
51333102344310
6110143140140
713363526010
oct3131704234
91080888766
10426215580
111a965108a
12ba8a4650
136a3bcb8b
144086a540
1527641170
hex1967889c

426215580 has 96 divisors (see below), whose sum is σ = 1400802816. Its totient is φ = 94784256.

The previous prime is 426215549. The next prime is 426215597. The reversal of 426215580 is 85512624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1827 + ... + 29253.

It is an arithmetic number, because the mean of its divisors is an integer number (14591696).

Almost surely, 2426215580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426215580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700401408).

426215580 is an abundant number, since it is smaller than the sum of its proper divisors (974587236).

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

426215580 is a wasteful number, since it uses less digits than its factorization.

426215580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27483 (or 27481 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 426215580 is about 20644.9892225692. The cubic root of 426215580 is about 752.5634240497.

The spelling of 426215580 in words is "four hundred twenty-six million, two hundred fifteen thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 7770 15540 27427 54854 82281 109708 137135 164562 191989 274270 329124 383978 411405 548540 575967 767956 822810 959945 1014799 1151934 1645620 1919890 2029598 2303868 2879835 3044397 3839780 4059196 5073995 5759670 6088794 7103593 10147990 11519340 12177588 14207186 15221985 20295980 21310779 28414372 30443970 35517965 42621558 60887940 71035930 85243116 106553895 142071860 213107790 426215580