Search a number
-
+
441254142 = 23471747487
BaseRepresentation
bin11010010011010…
…000000011111110
31010202022000220000
4122103100003332
51400430113032
6111441335130
713635412140
oct3223200376
91122260800
10441254142
1120709284a
121039374a6
1370556c34
1442862c90
1528b11e7c
hex1a4d00fe

441254142 has 160 divisors (see below), whose sum is σ = 1224419328. Its totient is φ = 115893504.

The previous prime is 441254141. The next prime is 441254167. The reversal of 441254142 is 241452144.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441254141) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 905823 + ... + 906309.

Almost surely, 2441254142 is an apocalyptic number.

441254142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 441254142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612209664).

441254142 is an abundant number, since it is smaller than the sum of its proper divisors (783165186).

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

441254142 is a wasteful number, since it uses less digits than its factorization.

441254142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 441254142 is about 21006.0501284749. The cubic root of 441254142 is about 761.3124494377.

The spelling of 441254142 in words is "four hundred forty-one million, two hundred fifty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 47 51 54 63 81 94 102 119 126 141 153 162 189 238 282 306 329 357 378 423 459 487 567 658 714 799 846 918 974 987 1071 1134 1269 1377 1461 1598 1974 2142 2397 2538 2754 2922 2961 3213 3409 3807 4383 4794 5593 5922 6426 6818 7191 7614 8279 8766 8883 9639 10227 11186 13149 14382 16558 16779 17766 19278 20454 21573 22889 24837 26298 26649 30681 33558 39447 43146 45778 49674 50337 53298 57953 61362 64719 68667 74511 78894 92043 100674 115906 129438 137334 149022 151011 160223 173859 184086 206001 223533 276129 302022 320446 347718 389113 412002 447066 453033 480669 521577 552258 618003 670599 778226 906066 961338 1043154 1167339 1236006 1341198 1442007 1564731 1854009 2334678 2723791 2884014 3129462 3502017 3708018 4326021 4694193 5447582 7004034 8171373 8652042 9388386 10506051 12978063 16342746 21012102 24514119 25956126 31518153 49028238 63036306 73542357 147084714 220627071 441254142