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41062500 = 22325673
BaseRepresentation
bin1001110010100…
…1000001100100
32212021012011100
42130221001210
541003000000
64024040100
71006011513
oct234510144
985235140
1041062500
11211a6956
1211903030
13867934b
14564c67a
153911a00
hex2729064

41062500 has 126 divisors (see below), whose sum is σ = 131521754. Its totient is φ = 10800000.

The previous prime is 41062493. The next prime is 41062513. The reversal of 41062500 is 526014.

It is a happy number.

41062500 is a `hidden beast` number, since 41 + 0 + 625 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 41062464 + 36 = 6408^2 + 6^2 .

It is a super-2 number, since 2×410625002 = 3372257812500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 562464 + ... + 562536.

Almost surely, 241062500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41062500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65760877).

41062500 is an abundant number, since it is smaller than the sum of its proper divisors (90459254).

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

41062500 is an equidigital number, since it uses as much as digits as its factorization.

41062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 41062500 is about 6408.0028089881. The cubic root of 41062500 is about 344.9968493726.

Adding to 41062500 its reverse (526014), we get a palindrome (41588514).

The spelling of 41062500 in words is "forty-one million, sixty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 73 75 90 100 125 146 150 180 219 225 250 292 300 365 375 438 450 500 625 657 730 750 876 900 1095 1125 1250 1314 1460 1500 1825 1875 2190 2250 2500 2628 3125 3285 3650 3750 4380 4500 5475 5625 6250 6570 7300 7500 9125 9375 10950 11250 12500 13140 15625 16425 18250 18750 21900 22500 27375 28125 31250 32850 36500 37500 45625 46875 54750 56250 62500 65700 82125 91250 93750 109500 112500 136875 140625 164250 182500 187500 228125 273750 281250 328500 410625 456250 547500 562500 684375 821250 912500 1140625 1368750 1642500 2053125 2281250 2737500 3421875 4106250 4562500 6843750 8212500 10265625 13687500 20531250 41062500