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41930928 = 24321321723
BaseRepresentation
bin1001111111110…
…1000010110000
32220220022102100
42133331002300
541213242203
64054420400
71016256414
oct237750260
986808370
1041930928
112173a366
1212061700
1388c1700
1457d6d44
153a33ea3
hex27fd0b0

41930928 has 90 divisors (see below), whose sum is σ = 127143276. Its totient is φ = 12894336.

The previous prime is 41930927. The next prime is 41930939. The reversal of 41930928 is 82903914.

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

It is a junction number, because it is equal to n+sod(n) for n = 41930892 and 41930901.

It is not an unprimeable number, because it can be changed into a prime (41930927) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23475 + ... + 25197.

Almost surely, 241930928 is an apocalyptic number.

41930928 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 41930928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63571638).

41930928 is an abundant number, since it is smaller than the sum of its proper divisors (85212348).

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

41930928 is a wasteful number, since it uses less digits than its factorization.

41930928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 41930928 is about 6475.4094851214. The cubic root of 41930928 is about 347.4120074639.

The spelling of 41930928 in words is "forty-one million, nine hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1723 1872 2028 2704 3042 3446 4056 5169 6084 6892 8112 10338 12168 13784 15507 20676 22399 24336 27568 31014 41352 44798 62028 67197 82704 89596 124056 134394 179192 201591 248112 268788 291187 358384 403182 537576 582374 806364 873561 1075152 1164748 1612728 1747122 2329496 2620683 3225456 3494244 4658992 5241366 6988488 10482732 13976976 20965464 41930928