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41398000 = 245372957
BaseRepresentation
bin1001110111101…
…0111011110000
32212220020101021
42131322323300
541044214000
64035145224
71011606610
oct235727360
985806337
1041398000
1121405a26
1211a45214
138765c77
1456d8a40
15397b11a
hex277aef0

41398000 has 80 divisors (see below), whose sum is σ = 114439104. Its totient is φ = 14188800.

The previous prime is 41397997. The next prime is 41398001. The reversal of 41398000 is 89314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41398001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12522 + ... + 15478.

Almost surely, 241398000 is an apocalyptic number.

41398000 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 41398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57219552).

41398000 is an abundant number, since it is smaller than the sum of its proper divisors (73041104).

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

41398000 is a wasteful number, since it uses less digits than its factorization.

41398000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 41398000 is about 6434.1277575131. The cubic root of 41398000 is about 345.9338976264.

The spelling of 41398000 in words is "forty-one million, three hundred ninety-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 2957 3500 5914 7000 11828 14000 14785 20699 23656 29570 41398 47312 59140 73925 82796 103495 118280 147850 165592 206990 236560 295700 331184 369625 413980 517475 591400 739250 827960 1034950 1182800 1478500 1655920 2069900 2587375 2957000 4139800 5174750 5914000 8279600 10349500 20699000 41398000