Search a number
-
+
41438088 = 23331923439
BaseRepresentation
bin1001111000010…
…0101110001000
32212222021101000
42132010232020
541102004323
64040055000
71012134516
oct236045610
985867330
1041438088
112143305a
1211a64460
13877b2a3
1457094b6
153987e43
hex2784b88

41438088 has 128 divisors (see below), whose sum is σ = 126720000. Its totient is φ = 12488256.

The previous prime is 41438087. The next prime is 41438099. The reversal of 41438088 is 88083414.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41438087) 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 31 ways as a sum of consecutive naturals, for example, 94173 + ... + 94611.

It is an arithmetic number, because the mean of its divisors is an integer number (990000).

Almost surely, 241438088 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 41438088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63360000).

41438088 is an abundant number, since it is smaller than the sum of its proper divisors (85281912).

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

41438088 is a wasteful number, since it uses less digits than its factorization.

41438088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 41438088 is about 6437.2422666853. The cubic root of 41438088 is about 346.0455239865.

The spelling of 41438088 in words is "forty-one million, four hundred thirty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 27 36 38 46 54 57 69 72 76 92 108 114 138 152 171 184 207 216 228 276 342 414 437 439 456 513 552 621 684 828 874 878 1026 1242 1311 1317 1368 1656 1748 1756 2052 2484 2622 2634 3496 3512 3933 3951 4104 4968 5244 5268 7866 7902 8341 10097 10488 10536 11799 11853 15732 15804 16682 20194 23598 23706 25023 30291 31464 31608 33364 40388 47196 47412 50046 60582 66728 75069 80776 90873 94392 94824 100092 121164 150138 181746 191843 200184 225207 242328 272619 300276 363492 383686 450414 545238 575529 600552 726984 767372 900828 1090476 1151058 1534744 1726587 1801656 2180952 2302116 3453174 4604232 5179761 6906348 10359522 13812696 20719044 41438088