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41955408 = 243711109
BaseRepresentation
bin1010000000001…
…1000001010000
32220221120000000
42200003001100
541220033113
64055130000
71016420655
oct240030120
986846000
1041955408
11217567a0
1212073900
1388cc8b1
145801c2c
153a3b373
hex2803050

41955408 has 160 divisors (see below), whose sum is σ = 134217600. Its totient is φ = 12597120.

The previous prime is 41955379. The next prime is 41955469. The reversal of 41955408 is 80455914.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384858 + ... + 384966.

It is an arithmetic number, because the mean of its divisors is an integer number (838860).

Almost surely, 241955408 is an apocalyptic number.

41955408 is a gapful number since it is divisible by the number (48) 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 41955408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67108800).

41955408 is an abundant number, since it is smaller than the sum of its proper divisors (92262192).

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

41955408 is a wasteful number, since it uses less digits than its factorization.

41955408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 41955408 is about 6477.2994372655. The cubic root of 41955408 is about 347.4796026880.

The spelling of 41955408 in words is "forty-one million, nine hundred fifty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 109 132 144 162 176 198 216 218 243 264 297 324 327 396 432 436 486 528 594 648 654 729 792 872 891 972 981 1188 1199 1296 1308 1458 1584 1744 1782 1944 1962 2187 2376 2398 2616 2673 2916 2943 3564 3597 3888 3924 4374 4752 4796 5232 5346 5832 5886 7128 7194 7848 8019 8748 8829 9592 10692 10791 11664 11772 14256 14388 15696 16038 17496 17658 19184 21384 21582 23544 24057 26487 28776 32076 32373 34992 35316 42768 43164 47088 48114 52974 57552 64152 64746 70632 79461 86328 96228 97119 105948 128304 129492 141264 158922 172656 192456 194238 211896 238383 258984 291357 317844 384912 388476 423792 476766 517968 582714 635688 776952 874071 953532 1165428 1271376 1553904 1748142 1907064 2330856 2622213 3496284 3814128 4661712 5244426 6992568 10488852 13985136 20977704 41955408