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41024025 = 325272612
BaseRepresentation
bin1001110001111…
…1101000011001
32212012020101100
42130133220121
541000232100
64023142013
71005461400
oct234375031
985166340
1041024025
112117aa59
12118a4909
138664993
14563c637
153905400
hex271fa19

41024025 has 81 divisors (see below), whose sum is σ = 86899293. Its totient is φ = 18446400.

The previous prime is 41024023. The next prime is 41024041. The reversal of 41024025 is 52042014.

The square root of 41024025 is 6405.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18896409 + 22127616 = 4347^2 + 4704^2 .

It is not a de Polignac number, because 41024025 - 21 = 41024023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41023989 and 41024007.

It is not an unprimeable number, because it can be changed into a prime (41024023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 672495 + ... + 672555.

Almost surely, 241024025 is an apocalyptic number.

41024025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41024025 is the 6405-th square number.

41024025 is the 3203-rd centered octagonal number.

It is an amenable number.

41024025 is an abundant number, since it is smaller than the sum of its proper divisors (45875268).

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

41024025 is a wasteful number, since it uses less digits than its factorization.

41024025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The cubic root of 41024025 is about 344.8890632603.

Adding to 41024025 its reverse (52042014), we get a palindrome (93066039).

The spelling of 41024025 in words is "forty-one million, twenty-four thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 61 63 75 105 147 175 183 225 245 305 315 427 441 525 549 735 915 1225 1281 1525 1575 2135 2205 2745 2989 3675 3721 3843 4575 6405 8967 10675 11025 11163 13725 14945 18605 19215 26047 26901 32025 33489 44835 55815 74725 78141 93025 96075 130235 134505 167445 182329 224175 234423 279075 390705 546987 651175 672525 837225 911645 1172115 1640961 1953525 2734935 4558225 5860575 8204805 13674675 41024025