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41148480 = 263542863
BaseRepresentation
bin1001110011111…
…0000001000000
32212102120002210
42130332001000
541013222410
64025542120
71006520262
oct234760100
985376083
1041148480
112125550a
1211944940
1386a9519
145671b32
15392c220
hex273e040

41148480 has 56 divisors (see below), whose sum is σ = 130649472. Its totient is φ = 10972672.

The previous prime is 41148479. The next prime is 41148487. The reversal of 41148480 is 8484114.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (41148487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20472 + ... + 22391.

Almost surely, 241148480 is an apocalyptic number.

41148480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41148480 is an abundant number, since it is smaller than the sum of its proper divisors (89500992).

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

41148480 is a wasteful number, since it uses less digits than its factorization.

41148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42883 (or 42873 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 41148480 is about 6414.7080993604. The cubic root of 41148480 is about 345.2374756511.

The spelling of 41148480 in words is "forty-one million, one hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 42863 85726 128589 171452 214315 257178 342904 428630 514356 642945 685808 857260 1028712 1285890 1371616 1714520 2057424 2571780 2743232 3429040 4114848 5143560 6858080 8229696 10287120 13716160 20574240 41148480