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41981400 = 23325283281
BaseRepresentation
bin1010000000100…
…1010111011000
32220222212122200
42200021113120
541221401100
64055450200
71016556516
oct240112730
986885580
1041981400
112177427a
1212086960
13890b686
14580b4b6
153a43e00
hex28095d8

41981400 has 144 divisors (see below), whose sum is σ = 143193960. Its totient is φ = 11020800.

The previous prime is 41981399. The next prime is 41981413. The reversal of 41981400 is 418914.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149260 + ... + 149540.

Almost surely, 241981400 is an apocalyptic number.

41981400 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 41981400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71596980).

41981400 is an abundant number, since it is smaller than the sum of its proper divisors (101212560).

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

41981400 is a wasteful number, since it uses less digits than its factorization.

41981400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 41981400 is about 6479.3055183407. The cubic root of 41981400 is about 347.5513441378.

The spelling of 41981400 in words is "forty-one million, nine hundred eighty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 83 90 100 120 150 166 180 200 225 249 281 300 332 360 415 450 498 562 600 664 747 830 843 900 996 1124 1245 1405 1494 1660 1686 1800 1992 2075 2248 2490 2529 2810 2988 3320 3372 3735 4150 4215 4980 5058 5620 5976 6225 6744 7025 7470 8300 8430 9960 10116 11240 12450 12645 14050 14940 16600 16860 18675 20232 21075 23323 24900 25290 28100 29880 33720 37350 42150 46646 49800 50580 56200 63225 69969 74700 84300 93292 101160 116615 126450 139938 149400 168600 186584 209907 233230 252900 279876 349845 419814 466460 505800 559752 583075 699690 839628 932920 1049535 1166150 1399380 1679256 1749225 2099070 2332300 2798760 3498450 4198140 4664600 5247675 6996900 8396280 10495350 13993800 20990700 41981400