Search a number
-
+
41955312 = 2437236189
BaseRepresentation
bin1010000000001…
…0111111110000
32220221112212110
42200002333300
541220032222
64055125320
71016420460
oct240027760
986845773
1041955312
1121756713
1212073840
1388cc839
145801ba0
153a3b30c
hex2802ff0

41955312 has 160 divisors (see below), whose sum is σ = 132848640. Its totient is φ = 11151360.

The previous prime is 41955301. The next prime is 41955359. The reversal of 41955312 is 21355914.

It is a self number, because there is not a number n which added to its sum of digits gives 41955312.

It is a congruent number.

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, 471364 + ... + 471452.

It is an arithmetic number, because the mean of its divisors is an integer number (830304).

Almost surely, 241955312 is an apocalyptic number.

41955312 is a gapful number since it is divisible by the number (42) 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 41955312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66424320).

41955312 is an abundant number, since it is smaller than the sum of its proper divisors (90893328).

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

41955312 is a wasteful number, since it uses less digits than its factorization.

41955312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 41955312 is about 6477.2920267655. The cubic root of 41955312 is about 347.4793376600.

The spelling of 41955312 in words is "forty-one million, nine hundred fifty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 61 69 84 89 92 112 122 138 161 168 178 183 184 244 267 276 322 336 356 366 368 427 483 488 534 552 623 644 712 732 854 966 976 1068 1104 1246 1281 1288 1403 1424 1464 1708 1869 1932 2047 2136 2492 2562 2576 2806 2928 3416 3738 3864 4094 4209 4272 4984 5124 5429 5612 6141 6832 7476 7728 8188 8418 9821 9968 10248 10858 11224 12282 14329 14952 16287 16376 16836 19642 20496 21716 22448 24564 28658 29463 29904 32574 32752 33672 38003 39284 42987 43432 49128 57316 58926 65148 67344 76006 78568 85974 86864 98256 114009 114632 117852 124867 130296 152012 157136 171948 228018 229264 235704 249734 260592 304024 343896 374601 456036 471408 499468 608048 687792 749202 874069 912072 998936 1498404 1748138 1824144 1997872 2622207 2996808 3496276 5244414 5993616 6992552 10488828 13985104 20977656 41955312