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41409920 = 27589727
BaseRepresentation
bin1001110111110…
…1110110000000
32212220211201202
42131331312000
541100104140
64035320332
71011656426
oct235756600
985824652
1041409920
1121413982
1211a500a8
13876b516
1456dd116
15397e915
hex277dd80

41409920 has 64 divisors (see below), whose sum is σ = 100245600. Its totient is φ = 16355328.

The previous prime is 41409889. The next prime is 41409937. The reversal of 41409920 is 2990414.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56597 + ... + 57323.

Almost surely, 241409920 is an apocalyptic number.

41409920 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 41409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50122800).

41409920 is an abundant number, since it is smaller than the sum of its proper divisors (58835680).

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

41409920 is an equidigital number, since it uses as much as digits as its factorization.

41409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 41409920 is about 6435.0540013274. The cubic root of 41409920 is about 345.9670967854.

The spelling of 41409920 in words is "forty-one million, four hundred nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 320 356 445 640 712 727 890 1424 1454 1780 2848 2908 3560 3635 5696 5816 7120 7270 11392 11632 14240 14540 23264 28480 29080 46528 56960 58160 64703 93056 116320 129406 232640 258812 323515 465280 517624 647030 1035248 1294060 2070496 2588120 4140992 5176240 8281984 10352480 20704960 41409920