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925924041 = 3674232
BaseRepresentation
bin110111001100000…
…111101011001001
32101112021211000000
4313030013223021
53344014032131
6231513433213
731642140000
oct6714075311
92345254000
10925924041
11435729489
1221a10b809
13119aa2363
148ad87c37
155644cce6
hex37307ac9

925924041 has 105 divisors (see below), whose sum is σ = 1693005629. Its totient is φ = 506095128.

The previous prime is 925924019. The next prime is 925924061. The reversal of 925924041 is 140429529.

The square root of 925924041 is 30429.

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

It is not a de Polignac number, because 925924041 - 25 = 925924009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 925923987 and 925924005.

It is not an unprimeable number, because it can be changed into a prime (925924061) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 40257556 + ... + 40257578.

Almost surely, 2925924041 is an apocalyptic number.

925924041 is the 30429-th square number.

925924041 is the 15215-th centered octagonal number.

It is an amenable number.

925924041 is a deficient number, since it is larger than the sum of its proper divisors (767081588).

925924041 is an frugal number, since it uses more digits than its factorization.

925924041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 925924041 is about 974.6719180170.

Multiplying 925924041 by its sum of digits (36), we get a square (33333265476 = 1825742).

The spelling of 925924041 in words is "nine hundred twenty-five million, nine hundred twenty-four thousand, forty-one".

Divisors: 1 3 7 9 21 23 27 49 63 69 81 147 161 189 207 243 343 441 483 529 567 621 729 1029 1127 1323 1449 1587 1701 1863 2401 3087 3381 3703 3969 4347 4761 5103 5589 7203 7889 9261 10143 11109 11907 13041 14283 16767 21609 23667 25921 27783 30429 33327 35721 39123 42849 55223 64827 71001 77763 83349 91287 99981 117369 128547 165669 181447 194481 213003 233289 250047 273861 299943 385641 497007 544341 583443 639009 699867 821583 899829 1270129 1491021 1633023 1750329 1917027 2099601 2699487 3810387 4473063 4899069 5751081 6298803 11431161 13419189 14697207 18896409 34293483 40257567 44091621 102880449 132274863 308641347 925924041