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41982948 = 22347107173
BaseRepresentation
bin1010000000100…
…1101111100100
32220222221210000
42200021233210
541221423243
64055501300
71016564160
oct240115744
986887700
1041982948
1121775457
1212087830
13890c2a7
14580bca0
153a445d3
hex2809be4

41982948 has 120 divisors (see below), whose sum is σ = 127334592. Its totient is φ = 11814336.

The previous prime is 41982929. The next prime is 41982949. The reversal of 41982948 is 84928914.

It is not an unprimeable number, because it can be changed into a prime (41982949) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 242590 + ... + 242762.

Almost surely, 241982948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41982948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63667296).

41982948 is an abundant number, since it is smaller than the sum of its proper divisors (85351644).

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

41982948 is a wasteful number, since it uses less digits than its factorization.

41982948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 41982948 is about 6479.4249744865. The cubic root of 41982948 is about 347.5556158936. Note that the first 3 decimals are identical.

The spelling of 41982948 in words is "forty-one million, nine hundred eighty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 107 108 126 162 173 189 214 252 321 324 346 378 428 519 567 642 692 749 756 963 1038 1134 1211 1284 1498 1557 1926 2076 2247 2268 2422 2889 2996 3114 3633 3852 4494 4671 4844 5778 6228 6741 7266 8667 8988 9342 10899 11556 13482 14013 14532 17334 18511 18684 20223 21798 26964 28026 32697 34668 37022 40446 43596 55533 56052 60669 65394 74044 80892 98091 111066 121338 129577 130788 166599 196182 222132 242676 259154 333198 388731 392364 499797 518308 666396 777462 999594 1166193 1499391 1554924 1999188 2332386 2998782 3498579 4664772 5997564 6997158 10495737 13994316 20991474 41982948