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41052528 = 24331153163
BaseRepresentation
bin1001110010011…
…0100101110000
32212020200111000
42130212211300
541002140103
64023522000
71005640446
oct234464560
985220430
1041052528
112119a410
12118b9300
13867494a
145648b96
15390daa3
hex2726970

41052528 has 160 divisors (see below), whose sum is σ = 131777280. Its totient is φ = 12130560.

The previous prime is 41052527. The next prime is 41052533. The reversal of 41052528 is 82525014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41052527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251775 + ... + 251937.

It is an arithmetic number, because the mean of its divisors is an integer number (823608).

Almost surely, 241052528 is an apocalyptic number.

41052528 is a gapful number since it is divisible by the number (48) 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 41052528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65888640).

41052528 is an abundant number, since it is smaller than the sum of its proper divisors (90724752).

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

41052528 is a wasteful number, since it uses less digits than its factorization.

41052528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 41052528 is about 6407.2246721962. The cubic root of 41052528 is about 344.9689196954.

The spelling of 41052528 in words is "forty-one million, fifty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 53 54 66 72 88 99 106 108 132 144 159 163 176 198 212 216 264 297 318 326 396 424 432 477 489 528 583 594 636 652 792 848 954 978 1166 1188 1272 1304 1431 1467 1584 1749 1793 1908 1956 2332 2376 2544 2608 2862 2934 3498 3586 3816 3912 4401 4664 4752 5247 5379 5724 5868 6996 7172 7632 7824 8639 8802 9328 10494 10758 11448 11736 13992 14344 15741 16137 17278 17604 20988 21516 22896 23472 25917 27984 28688 31482 32274 34556 35208 41976 43032 48411 51834 62964 64548 69112 70416 77751 83952 86064 95029 96822 103668 125928 129096 138224 155502 190058 193644 207336 233253 251856 258192 285087 311004 380116 387288 414672 466506 570174 622008 760232 774576 855261 933012 1140348 1244016 1520464 1710522 1866024 2280696 2565783 3421044 3732048 4561392 5131566 6842088 10263132 13684176 20526264 41052528