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41195840 = 265753347
BaseRepresentation
bin1001110100100…
…1100101000000
32212111222001212
42131021211000
541021231330
64030545252
71010105330
oct235114500
985458055
1041195840
1121288054
1211968228
1386c4c4a
1456850c0
15393b295
hex2749940

41195840 has 112 divisors (see below), whose sum is σ = 114556032. Its totient is φ = 13817856.

The previous prime is 41195839. The next prime is 41195867. The reversal of 41195840 is 4859114.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 41195797 and 41195806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118547 + ... + 118893.

Almost surely, 241195840 is an apocalyptic number.

41195840 is a gapful number since it is divisible by the number (40) 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 41195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57278016).

41195840 is an abundant number, since it is smaller than the sum of its proper divisors (73360192).

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

41195840 is a wasteful number, since it uses less digits than its factorization.

41195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 41195840 is about 6418.3985541566. The cubic root of 41195840 is about 345.3698756651.

The spelling of 41195840 in words is "forty-one million, one hundred ninety-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 140 160 212 224 265 280 320 347 371 424 448 530 560 694 742 848 1060 1120 1388 1484 1696 1735 1855 2120 2240 2429 2776 2968 3392 3470 3710 4240 4858 5552 5936 6940 7420 8480 9716 11104 11872 12145 13880 14840 16960 18391 19432 22208 23744 24290 27760 29680 36782 38864 48580 55520 59360 73564 77728 91955 97160 111040 118720 128737 147128 155456 183910 194320 257474 294256 367820 388640 514948 588512 643685 735640 777280 1029896 1177024 1287370 1471280 2059792 2574740 2942560 4119584 5149480 5885120 8239168 10298960 20597920 41195840