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41040480 = 2535136577
BaseRepresentation
bin1001110010001…
…1101001100000
32212020001221210
42130203221200
541001243410
64023350120
71005560355
oct234435140
985201853
1041040480
1121191358
12118b2340
13866c310
14564462c
15390a220
hex2723a60

41040480 has 96 divisors (see below), whose sum is σ = 139243104. Its totient is φ = 10100736.

The previous prime is 41040479. The next prime is 41040491. The reversal of 41040480 is 8404014.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 2952 + ... + 9528.

It is an arithmetic number, because the mean of its divisors is an integer number (1450449).

Almost surely, 241040480 is an apocalyptic number.

41040480 is a gapful number since it is divisible by the number (40) 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 41040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69621552).

41040480 is an abundant number, since it is smaller than the sum of its proper divisors (98202624).

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

41040480 is a wasteful number, since it uses less digits than its factorization.

41040480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6608 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 41040480 is about 6406.2844145417. The cubic root of 41040480 is about 344.9351695027.

Adding to 41040480 its reverse (8404014), we get a palindrome (49444494).

The spelling of 41040480 in words is "forty-one million, forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 6577 13154 19731 26308 32885 39462 52616 65770 78924 85501 98655 105232 131540 157848 171002 197310 210464 256503 263080 315696 342004 394620 427505 513006 526160 631392 684008 789240 855010 1026012 1052320 1282515 1368016 1578480 1710020 2052024 2565030 2736032 3156960 3420040 4104048 5130060 6840080 8208096 10260120 13680160 20520240 41040480