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41959920 = 2435359487
BaseRepresentation
bin1010000000010…
…0000111110000
32220221210012010
42200010013300
541220204140
64055202520
71016440062
oct240040760
986853163
1041959920
112175a122
1212076440
138901972
145803732
153a3c880
hex28041f0

41959920 has 80 divisors (see below), whose sum is σ = 130705920. Its totient is φ = 11135232.

The previous prime is 41959913. The next prime is 41959979. The reversal of 41959920 is 2995914.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85917 + ... + 86403.

It is an arithmetic number, because the mean of its divisors is an integer number (1633824).

Almost surely, 241959920 is an apocalyptic number.

41959920 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 41959920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65352960).

41959920 is an abundant number, since it is smaller than the sum of its proper divisors (88746000).

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

41959920 is a wasteful number, since it uses less digits than its factorization.

41959920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 41959920 is about 6477.6477212025. The cubic root of 41959920 is about 347.4920585456.

The spelling of 41959920 in words is "forty-one million, nine hundred fifty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 359 487 718 974 1077 1436 1461 1795 1948 2154 2435 2872 2922 3590 3896 4308 4870 5385 5744 5844 7180 7305 7792 8616 9740 10770 11688 14360 14610 17232 19480 21540 23376 28720 29220 38960 43080 58440 86160 116880 174833 349666 524499 699332 874165 1048998 1398664 1748330 2097996 2622495 2797328 3496660 4195992 5244990 6993320 8391984 10489980 13986640 20979960 41959920