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41258320 = 24517231319
BaseRepresentation
bin1001110101100…
…0110101010000
32212122010202221
42131120311100
541030231240
64032150424
71010455435
oct235306520
985563687
1041258320
112131aa94
1211998414
13871750c
14569db8c
15394ea4a
hex2758d50

41258320 has 80 divisors (see below), whose sum is σ = 106064640. Its totient is φ = 14845952.

The previous prime is 41258317. The next prime is 41258323. The reversal of 41258320 is 2385214.

It is an interprime number because it is at equal distance from previous prime (41258317) and next prime (41258323).

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 (41258323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30621 + ... + 31939.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 241258320 is an apocalyptic number.

41258320 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 41258320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53032320).

41258320 is an abundant number, since it is smaller than the sum of its proper divisors (64806320).

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

41258320 is a wasteful number, since it uses less digits than its factorization.

41258320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 41258320 is about 6423.2639677971. The cubic root of 41258320 is about 345.5443901293.

The spelling of 41258320 in words is "forty-one million, two hundred fifty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1319 1360 1564 1840 1955 2638 3128 3910 5276 6256 6595 7820 10552 13190 15640 21104 22423 26380 30337 31280 44846 52760 60674 89692 105520 112115 121348 151685 179384 224230 242696 303370 358768 448460 485392 515729 606740 896920 1031458 1213480 1793840 2062916 2426960 2578645 4125832 5157290 8251664 10314580 20629160 41258320