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40441544 = 231113232953
BaseRepresentation
bin1001101001000…
…1011011001000
32211002122100222
42122101123020
540323112134
64002445212
71000514243
oct232213310
984078328
1040441544
1120912370
1211663808
1384bc810
14552a25a
15383ca2e
hex26916c8

40441544 has 128 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 15375360.

The previous prime is 40441537. The next prime is 40441553. The reversal of 40441544 is 44514404.

It is a super-2 number, since 2×404415442 = 3271036962207872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763022 + ... + 763074.

It is an arithmetic number, because the mean of its divisors is an integer number (765450).

Almost surely, 240441544 is an apocalyptic number.

40441544 is a gapful number since it is divisible by the number (44) 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 40441544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

40441544 is an abundant number, since it is smaller than the sum of its proper divisors (57536056).

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

40441544 is a wasteful number, since it uses less digits than its factorization.

40441544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 40441544 is about 6359.3666351296. The cubic root of 40441544 is about 343.2489699613.

Adding to 40441544 its reverse (44514404), we get a palindrome (84955948).

The spelling of 40441544 in words is "forty million, four hundred forty-one thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 13 22 23 26 29 44 46 52 53 58 88 92 104 106 116 143 184 212 232 253 286 299 319 377 424 506 572 583 598 638 667 689 754 1012 1144 1166 1196 1219 1276 1334 1378 1508 1537 2024 2332 2392 2438 2552 2668 2756 3016 3074 3289 4147 4664 4876 5336 5512 6148 6578 7337 7579 8294 8671 9752 12296 13156 13409 14674 15158 15847 16588 16907 17342 19981 26312 26818 29348 30316 31694 33176 33814 34684 35351 39962 53636 58696 60632 63388 67628 69368 70702 79924 95381 107272 126776 135256 141404 159848 174317 190762 219791 282808 348634 381524 388861 439582 459563 697268 763048 777722 879164 919126 1394536 1555444 1758328 1838252 3110888 3676504 5055193 10110386 20220772 40441544