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41457120 = 253586369
BaseRepresentation
bin1001111000100…
…1010111100000
32220000020110220
42132021113200
541103111440
64040323040
71012244145
oct236112740
986006426
1041457120
1121446391
1211a73480
138786b53
1457123cc
15398d8d0
hex27895e0

41457120 has 48 divisors (see below), whose sum is σ = 130591440. Its totient is φ = 11055104.

The previous prime is 41457083. The next prime is 41457127. The reversal of 41457120 is 2175414.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41457127) 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, 42705 + ... + 43664.

It is an arithmetic number, because the mean of its divisors is an integer number (2720655).

Almost surely, 241457120 is an apocalyptic number.

41457120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41457120 is an abundant number, since it is smaller than the sum of its proper divisors (89134320).

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

41457120 is a wasteful number, since it uses less digits than its factorization.

41457120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86387 (or 86379 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 41457120 is about 6438.7203697629. The cubic root of 41457120 is about 346.0984940173.

The spelling of 41457120 in words is "forty-one million, four hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 86369 172738 259107 345476 431845 518214 690952 863690 1036428 1295535 1381904 1727380 2072856 2591070 2763808 3454760 4145712 5182140 6909520 8291424 10364280 13819040 20728560 41457120