Search a number
-
+
41704960 = 295111481
BaseRepresentation
bin1001111100010…
…1111000000000
32220110211110011
42133011320000
541134024320
64045514304
71014325543
oct237057000
986424404
1041704960
11215a5610
1211b72994
1388428bb
14577885a
1539dc05a
hex27c5e00

41704960 has 80 divisors (see below), whose sum is σ = 109158192. Its totient is φ = 15155200.

The previous prime is 41704939. The next prime is 41704963. The reversal of 41704960 is 6940714.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41704963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27420 + ... + 28900.

Almost surely, 241704960 is an apocalyptic number.

41704960 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 41704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54579096).

41704960 is an abundant number, since it is smaller than the sum of its proper divisors (67453232).

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

41704960 is a wasteful number, since it uses less digits than its factorization.

41704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 41704960 is about 6457.9377513259. The cubic root of 41704960 is about 346.7868091141.

The spelling of 41704960 in words is "forty-one million, seven hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1481 1760 2560 2816 2962 3520 5632 5924 7040 7405 11848 14080 14810 16291 23696 28160 29620 32582 47392 59240 65164 81455 94784 118480 130328 162910 189568 236960 260656 325820 379136 473920 521312 651640 758272 947840 1042624 1303280 1895680 2085248 2606560 3791360 4170496 5213120 8340992 10426240 20852480 41704960