Search a number
-
+
4421005440 = 27354353549
BaseRepresentation
bin1000001111000001…
…10011000010000000
3102102002220100100020
410013200303002000
533023234133230
62010405253440
7214361632455
oct40740630200
912362810306
104421005440
1119695a6905
12a34704280
13555c08c67
142dd22582c
151ad1d7810
hex107833080

4421005440 has 128 divisors (see below), whose sum is σ = 14419944000. Its totient is φ = 1151496192.

The previous prime is 4421005429. The next prime is 4421005451. The reversal of 4421005440 is 445001244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4421005429) and next prime (4421005451).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×44210054403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4421005440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55786 + ... + 109334.

Almost surely, 24421005440 is an apocalyptic number.

4421005440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4421005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7209972000).

4421005440 is an abundant number, since it is smaller than the sum of its proper divisors (9998938560).

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

4421005440 is a wasteful number, since it uses less digits than its factorization.

4421005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53614 (or 53602 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4421005440 is about 66490.6417475422. The cubic root of 4421005440 is about 1641.2460092670.

Adding to 4421005440 its reverse (445001244), we get a palindrome (4866006684).

The spelling of 4421005440 in words is "four billion, four hundred twenty-one million, five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 258 320 344 384 430 480 516 640 645 688 860 960 1032 1290 1376 1720 1920 2064 2580 2752 3440 4128 5160 5504 6880 8256 10320 13760 16512 20640 27520 41280 53549 82560 107098 160647 214196 267745 321294 428392 535490 642588 803235 856784 1070980 1285176 1606470 1713568 2141960 2302607 2570352 3212940 3427136 4283920 4605214 5140704 6425880 6854272 6907821 8567840 9210428 10281408 11513035 12851760 13815642 17135680 18420856 20562816 23026070 25703520 27631284 34271360 34539105 36841712 46052140 51407040 55262568 69078210 73683424 92104280 102814080 110525136 138156420 147366848 184208560 221050272 276312840 294733696 368417120 442100544 552625680 736834240 884201088 1105251360 1473668480 2210502720 4421005440