Search a number
-
+
40984440 = 2335797503
BaseRepresentation
bin1001110001010…
…1111101111000
32212010020002020
42130111331320
540443000230
64022234440
71005235110
oct234257570
985106066
1040984440
1121153242
1211885a20
13864c963
14562c040
1538e8810
hex2715f78

40984440 has 128 divisors (see below), whose sum is σ = 142248960. Its totient is φ = 9252864.

The previous prime is 40984439. The next prime is 40984451. The reversal of 40984440 is 4448904.

It is a super-2 number, since 2×409844402 = 3359448644227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81229 + ... + 81731.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 240984440 is an apocalyptic number.

40984440 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 40984440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71124480).

40984440 is an abundant number, since it is smaller than the sum of its proper divisors (101264520).

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

40984440 is a wasteful number, since it uses less digits than its factorization.

40984440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 40984440 is about 6401.9090902636. The cubic root of 40984440 is about 344.7780971690.

The spelling of 40984440 in words is "forty million, nine hundred eighty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 97 105 120 140 168 194 210 280 291 388 420 485 503 582 679 776 840 970 1006 1164 1358 1455 1509 1940 2012 2037 2328 2515 2716 2910 3018 3395 3521 3880 4024 4074 5030 5432 5820 6036 6790 7042 7545 8148 10060 10185 10563 11640 12072 13580 14084 15090 16296 17605 20120 20370 21126 27160 28168 30180 35210 40740 42252 48791 52815 60360 70420 81480 84504 97582 105630 140840 146373 195164 211260 243955 292746 341537 390328 422520 487910 585492 683074 731865 975820 1024611 1170984 1366148 1463730 1707685 1951640 2049222 2732296 2927460 3415370 4098444 5123055 5854920 6830740 8196888 10246110 13661480 20492220 40984440