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41891328 = 29329091
BaseRepresentation
bin1001111111001…
…1011000000000
32220211022002200
42133303120000
541211010303
64053513200
71016033103
oct237633000
986738080
1041891328
1121712636
1212042800
1388a968b
1457c673a
153a273a3
hex27f3600

41891328 has 60 divisors (see below), whose sum is σ = 120914508. Its totient is φ = 13962240.

The previous prime is 41891327. The next prime is 41891329. The reversal of 41891328 is 82319814.

It is an interprime number because it is at equal distance from previous prime (41891327) and next prime (41891329).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41891292 and 41891301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41891327) 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, 63 + ... + 9153.

Almost surely, 241891328 is an apocalyptic number.

41891328 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 41891328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60457254).

41891328 is an abundant number, since it is smaller than the sum of its proper divisors (79023180).

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

41891328 is an equidigital number, since it uses as much as digits as its factorization.

41891328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9115 (or 9096 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 41891328 is about 6472.3510411596. The cubic root of 41891328 is about 347.3026065249.

The spelling of 41891328 in words is "forty-one million, eight hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 9091 18182 27273 36364 54546 72728 81819 109092 145456 163638 218184 290912 327276 436368 581824 654552 872736 1163648 1309104 1745472 2327296 2618208 3490944 4654592 5236416 6981888 10472832 13963776 20945664 41891328