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41284656 = 2432725851
BaseRepresentation
bin1001110101111…
…1010000110000
32212200110220100
42131133100300
541032102111
64032512400
71010625300
oct235372060
985613810
1041284656
1121338856
12119ab700
1387264ba
1456a9600
153957756
hex275f430

41284656 has 90 divisors (see below), whose sum is σ = 134426292. Its totient is φ = 11793600.

The previous prime is 41284651. The next prime is 41284657. The reversal of 41284656 is 65648214.

41284656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41284656.

It is not an unprimeable number, because it can be changed into a prime (41284651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4131 + ... + 9981.

Almost surely, 241284656 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 41284656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67213146).

41284656 is an abundant number, since it is smaller than the sum of its proper divisors (93141636).

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

41284656 is a wasteful number, since it uses less digits than its factorization.

41284656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5879 (or 5863 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 41284656 is about 6425.3136888404. The cubic root of 41284656 is about 345.6178970927.

The spelling of 41284656 in words is "forty-one million, two hundred eighty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 5851 7056 11702 17553 23404 35106 40957 46808 52659 70212 81914 93616 105318 122871 140424 163828 210636 245742 280848 286699 327656 368613 421272 491484 573398 655312 737226 842544 860097 982968 1146796 1474452 1720194 1965936 2293592 2580291 2948904 3440388 4587184 5160582 5897808 6880776 10321164 13761552 20642328 41284656