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442499670 = 2325431091049
BaseRepresentation
bin11010011000000…
…000001001010110
31010211122022102200
4122120000021112
51401234442140
6111524145330
713652120334
oct3230001126
91124568380
10442499670
11207863608
12104238246
13708a1b32
1442aa8b54
1528cab030
hex1a600256

442499670 has 96 divisors (see below), whose sum is σ = 1189188000. Its totient is φ = 114089472.

The previous prime is 442499641. The next prime is 442499671. The reversal of 442499670 is 76994244.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442499671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421306 + ... + 422354.

It is an arithmetic number, because the mean of its divisors is an integer number (12387375).

Almost surely, 2442499670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442499670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594594000).

442499670 is an abundant number, since it is smaller than the sum of its proper divisors (746688330).

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

442499670 is a wasteful number, since it uses less digits than its factorization.

442499670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 442499670 is about 21035.6761241468. The cubic root of 442499670 is about 762.0280953536.

The spelling of 442499670 in words is "four hundred forty-two million, four hundred ninety-nine thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 109 129 215 218 258 327 387 430 545 645 654 774 981 1049 1090 1290 1635 1935 1962 2098 3147 3270 3870 4687 4905 5245 6294 9374 9441 9810 10490 14061 15735 18882 23435 28122 31470 42183 45107 46870 47205 70305 84366 90214 94410 114341 135321 140610 210915 225535 228682 270642 343023 405963 421830 451070 571705 676605 686046 811926 1029069 1143410 1353210 1715115 2029815 2058138 3430230 4059630 4916663 5145345 9833326 10290690 14749989 24583315 29499978 44249967 49166630 73749945 88499934 147499890 221249835 442499670