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442690974 = 233112931829
BaseRepresentation
bin11010011000101…
…110110110011110
31010212000000212000
4122120232312132
51401312102344
6111532223130
713653545145
oct3230566636
91125000760
10442690974
11207984310
1210430aaa6
137093ac2b
1442b1875c
1528ce7a69
hex1a62ed9e

442690974 has 128 divisors (see below), whose sum is σ = 1147392000. Its totient is φ = 125193600.

The previous prime is 442690967. The next prime is 442691009. The reversal of 442690974 is 479096244.

It is a super-2 number, since 2×4426909742 = 391950596922137352, which contains 22 as substring.

It is a Curzon number.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 533592 + ... + 534420.

It is an arithmetic number, because the mean of its divisors is an integer number (8964000).

Almost surely, 2442690974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442690974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573696000).

442690974 is an abundant number, since it is smaller than the sum of its proper divisors (704701026).

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

442690974 is a wasteful number, since it uses less digits than its factorization.

442690974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 905 counting only the distinct ones).

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

The square root of 442690974 is about 21040.2227649804. Note that the first 3 decimals coincide. The cubic root of 442690974 is about 762.1378943205.

The spelling of 442690974 in words is "four hundred forty-two million, six hundred ninety thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 29 31 33 54 58 62 66 87 93 99 174 186 198 261 279 297 319 341 522 558 594 638 682 783 829 837 899 957 1023 1566 1658 1674 1798 1914 2046 2487 2697 2871 3069 4974 5394 5742 6138 7461 8091 8613 9119 9207 9889 14922 16182 17226 18238 18414 19778 22383 24041 24273 25699 27357 29667 44766 48082 48546 51398 54714 59334 72123 77097 82071 89001 144246 154194 164142 178002 216369 231291 246213 264451 267003 282689 432738 462582 492426 528902 534006 565378 649107 693873 745271 793353 848067 1298214 1387746 1490542 1586706 1696134 2235813 2380059 2544201 4471626 4760118 5088402 6707439 7140177 7632603 8197981 13414878 14280354 15265206 16395962 20122317 24593943 40244634 49187886 73781829 147563658 221345487 442690974