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41730048 = 21432283
BaseRepresentation
bin1001111100110…
…0000000000000
32220112002212100
42133030000000
541140330143
64050230400
71014461643
oct237140000
986462770
1041730048
1121612448
1211b85400
138851149
145783a5a
1539e46d3
hex27cc000

41730048 has 90 divisors (see below), whose sum is σ = 120975764. Its totient is φ = 13860864.

The previous prime is 41730047. The next prime is 41730049. The reversal of 41730048 is 84003714.

It is an interprime number because it is at equal distance from previous prime (41730047) and next prime (41730049).

It is not an unprimeable number, because it can be changed into a prime (41730047) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147315 + ... + 147597.

Almost surely, 241730048 is an apocalyptic number.

41730048 is a gapful number since it is divisible by the number (48) 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 41730048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60487882).

41730048 is an abundant number, since it is smaller than the sum of its proper divisors (79245716).

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

41730048 is an equidigital number, since it uses as much as digits as its factorization.

41730048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 41730048 is about 6459.8798750441. The cubic root of 41730048 is about 346.8563327670.

The spelling of 41730048 in words is "forty-one million, seven hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 283 288 384 512 566 576 768 849 1024 1132 1152 1536 1698 2048 2264 2304 2547 3072 3396 4096 4528 4608 5094 6144 6792 8192 9056 9216 10188 12288 13584 16384 18112 18432 20376 24576 27168 36224 36864 40752 49152 54336 72448 73728 81504 108672 144896 147456 163008 217344 289792 326016 434688 579584 652032 869376 1159168 1304064 1738752 2318336 2608128 3477504 4636672 5216256 6955008 10432512 13910016 20865024 41730048