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41137000 = 2353311327
BaseRepresentation
bin1001110011101…
…1001101101000
32212101222100121
42130323031220
541012341000
64025413024
71006441642
oct234731550
985358317
1041137000
1121247923
121193a174
1386a4228
14566b892
153928b1a
hex273b368

41137000 has 64 divisors (see below), whose sum is σ = 99440640. Its totient is φ = 15912000.

The previous prime is 41136967. The next prime is 41137043. The reversal of 41137000 is 73114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30337 + ... + 31663.

It is an arithmetic number, because the mean of its divisors is an integer number (1553760).

Almost surely, 241137000 is an apocalyptic number.

41137000 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 41137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49720320).

41137000 is an abundant number, since it is smaller than the sum of its proper divisors (58303640).

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

41137000 is a wasteful number, since it uses less digits than its factorization.

41137000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 41137000 is about 6413.8132183593. The cubic root of 41137000 is about 345.2053667708.

The spelling of 41137000 in words is "forty-one million, one hundred thirty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 1000 1240 1327 1550 2654 3100 3875 5308 6200 6635 7750 10616 13270 15500 26540 31000 33175 41137 53080 66350 82274 132700 164548 165875 205685 265400 329096 331750 411370 663500 822740 1028425 1327000 1645480 2056850 4113700 5142125 8227400 10284250 20568500 41137000