Search a number
-
+
442700790 = 23572614937
BaseRepresentation
bin11010011000110…
…001001111110110
31010212000112022120
4122120301033312
51401312411130
6111532340410
713653615600
oct3230611766
91125015276
10442700790
11207990724
12104314706
137094253c
1442b1c170
1528cea910
hex1a6313f6

442700790 has 96 divisors (see below), whose sum is σ = 1256464224. Its totient is φ = 99509760.

The previous prime is 442700789. The next prime is 442700857. The reversal of 442700790 is 97007244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87202 + ... + 92138.

It is an arithmetic number, because the mean of its divisors is an integer number (13088169).

Almost surely, 2442700790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442700790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628232112).

442700790 is an abundant number, since it is smaller than the sum of its proper divisors (813763434).

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

442700790 is a wasteful number, since it uses less digits than its factorization.

442700790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 442700790 is about 21040.4560311796. The cubic root of 442700790 is about 762.1435273623.

The spelling of 442700790 in words is "four hundred forty-two million, seven hundred thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 61 70 98 105 122 147 183 210 245 294 305 366 427 490 610 735 854 915 1281 1470 1830 2135 2562 2989 4270 4937 5978 6405 8967 9874 12810 14811 14945 17934 24685 29622 29890 34559 44835 49370 69118 74055 89670 103677 148110 172795 207354 241913 301157 345590 483826 518385 602314 725739 903471 1036770 1209565 1451478 1505785 1806942 2108099 2419130 3011570 3628695 4216198 4517355 6324297 7257390 9034710 10540495 12648594 14756693 21080990 29513386 31621485 44270079 63242970 73783465 88540158 147566930 221350395 442700790