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41245344 = 2532741499
BaseRepresentation
bin1001110101010…
…1101010100000
32212121110222100
42131111222200
541024322334
64032010400
71010402550
oct235255240
985543870
1041245344
1121311268
1211990a00
13871163a
145699160
15394ac99
hex2755aa0

41245344 has 144 divisors (see below), whose sum is σ = 137592000. Its totient is φ = 11473920.

The previous prime is 41245327. The next prime is 41245361. The reversal of 41245344 is 44354214.

It is a happy number.

41245344 is a `hidden beast` number, since 4 + 124 + 534 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (41245327) and next prime (41245361).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82407 + ... + 82905.

It is an arithmetic number, because the mean of its divisors is an integer number (955500).

Almost surely, 241245344 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 41245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796000).

41245344 is an abundant number, since it is smaller than the sum of its proper divisors (96346656).

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

41245344 is a wasteful number, since it uses less digits than its factorization.

41245344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 552 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 41245344 is about 6422.2538099954. The cubic root of 41245344 is about 345.5081610395.

Adding to 41245344 its reverse (44354214), we get a palindrome (85599558).

The spelling of 41245344 in words is "forty-one million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 369 492 499 504 574 656 672 738 861 984 998 1008 1148 1312 1476 1497 1722 1968 1996 2016 2296 2583 2952 2994 3444 3493 3936 3992 4491 4592 5166 5904 5988 6888 6986 7984 8982 9184 10332 10479 11808 11976 13776 13972 15968 17964 20459 20664 20958 23952 27552 27944 31437 35928 40918 41328 41916 47904 55888 61377 62874 71856 81836 82656 83832 111776 122754 125748 143213 143712 163672 167664 184131 245508 251496 286426 327344 335328 368262 429639 491016 502992 572852 654688 736524 859278 982032 1005984 1145704 1288917 1473048 1718556 1964064 2291408 2577834 2946096 3437112 4582816 5155668 5892192 6874224 10311336 13748448 20622672 41245344