Search a number
-
+
41793930 = 23252967239
BaseRepresentation
bin1001111101101…
…1100110001010
32220122100111100
42133123212022
541144401210
64051442230
71015146123
oct237334612
986570440
1041793930
1121656442
1211bb6376
138874249
14579d04a
153a085c0
hex27db98a

41793930 has 96 divisors (see below), whose sum is σ = 114566400. Its totient is φ = 10555776.

The previous prime is 41793929. The next prime is 41793943. The reversal of 41793930 is 3939714.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174751 + ... + 174989.

It is an arithmetic number, because the mean of its divisors is an integer number (1193400).

Almost surely, 241793930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41793930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57283200).

41793930 is an abundant number, since it is smaller than the sum of its proper divisors (72772470).

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

41793930 is a wasteful number, since it uses less digits than its factorization.

41793930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 41793930 is about 6464.8225033639. The cubic root of 41793930 is about 347.0332363030.

The spelling of 41793930 in words is "forty-one million, seven hundred ninety-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 67 87 90 134 145 174 201 239 261 290 335 402 435 478 522 603 670 717 870 1005 1195 1206 1305 1434 1943 2010 2151 2390 2610 3015 3585 3886 4302 5829 6030 6931 7170 9715 10755 11658 13862 16013 17487 19430 20793 21510 29145 32026 34655 34974 41586 48039 58290 62379 69310 80065 87435 96078 103965 124758 144117 160130 174870 207930 240195 288234 311895 464377 480390 623790 720585 928754 1393131 1441170 2321885 2786262 4179393 4643770 6965655 8358786 13931310 20896965 41793930