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442588140 = 223252984787
BaseRepresentation
bin11010011000010…
…101101111101100
31010211210210210100
4122120111233230
51401300310030
6111530111100
713652636301
oct3230255754
91124723710
10442588140
11207914025
1210427b490
1370903197
1442acd0a8
1528cc7360
hex1a615bec

442588140 has 72 divisors (see below), whose sum is σ = 1388827440. Its totient is φ = 113952384.

The previous prime is 442588129. The next prime is 442588163. The reversal of 442588140 is 41885244.

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 = 442588095 and 442588104.

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, 37174 + ... + 47613.

It is an arithmetic number, because the mean of its divisors is an integer number (19289270).

Almost surely, 2442588140 is an apocalyptic number.

It is an amenable number.

442588140 is an abundant number, since it is smaller than the sum of its proper divisors (946239300).

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

442588140 is a wasteful number, since it uses less digits than its factorization.

442588140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84831 (or 84826 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 442588140 is about 21037.7788751569. The cubic root of 442588140 is about 762.0788766594.

The spelling of 442588140 in words is "four hundred forty-two million, five hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 84787 169574 254361 339148 423935 508722 763083 847870 1017444 1271805 1526166 1695740 2458823 2543610 3052332 3815415 4917646 5087220 7376469 7630830 9835292 12294115 14752938 15261660 22129407 24588230 29505876 36882345 44258814 49176460 73764690 88517628 110647035 147529380 221294070 442588140