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41956020 = 223253173103
BaseRepresentation
bin1010000000001…
…1001010110100
32220221120211200
42200003022310
541220043040
64055132500
71016422521
oct240031264
986846750
1041956020
11217571a7
1212074130
1388ccc62
145802148
153a3b630
hex28032b4

41956020 has 144 divisors (see below), whose sum is σ = 134464512. Its totient is φ = 10575360.

The previous prime is 41956001. The next prime is 41956027. The reversal of 41956020 is 2065914.

It is a super-2 number, since 2×419560202 = 3520615228480800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41956027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407289 + ... + 407391.

Almost surely, 241956020 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 41956020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67232256).

41956020 is an abundant number, since it is smaller than the sum of its proper divisors (92508492).

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

41956020 is a wasteful number, since it uses less digits than its factorization.

41956020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 41956020 is about 6477.3466790037. The cubic root of 41956020 is about 347.4812922317.

The spelling of 41956020 in words is "forty-one million, nine hundred fifty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 73 90 93 103 124 146 155 180 186 206 219 279 292 309 310 365 372 412 438 465 515 558 618 620 657 730 876 927 930 1030 1095 1116 1236 1314 1395 1460 1545 1854 1860 2060 2190 2263 2628 2790 3090 3193 3285 3708 4380 4526 4635 5580 6180 6386 6570 6789 7519 9052 9270 9579 11315 12772 13140 13578 15038 15965 18540 19158 20367 22557 22630 27156 28737 30076 31930 33945 37595 38316 40734 45114 45260 47895 57474 63860 67671 67890 75190 81468 90228 95790 101835 112785 114948 135342 135780 143685 150380 191580 203670 225570 233089 270684 287370 338355 407340 451140 466178 574740 676710 699267 932356 1165445 1353420 1398534 2097801 2330890 2797068 3496335 4195602 4661780 6992670 8391204 10489005 13985340 20978010 41956020