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41456640 = 210352699
BaseRepresentation
bin1001111000100…
…1010000000000
32220000012211010
42132021100000
541103103030
64040320520
71012242561
oct236112000
986005733
1041456640
1121445a95
1211a73140
138786874
145712168
15398d6b0
hex2789400

41456640 has 88 divisors (see below), whose sum is σ = 132645600. Its totient is φ = 11051008.

The previous prime is 41456633. The next prime is 41456669. The reversal of 41456640 is 4665414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41456598 and 41456607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14011 + ... + 16709.

Almost surely, 241456640 is an apocalyptic number.

41456640 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 41456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66322800).

41456640 is an abundant number, since it is smaller than the sum of its proper divisors (91188960).

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

41456640 is a wasteful number, since it uses less digits than its factorization.

41456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 41456640 is about 6438.6830951678. The cubic root of 41456640 is about 346.0971582764.

The spelling of 41456640 in words is "forty-one million, four hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 2699 3072 3840 5120 5398 7680 8097 10796 13495 15360 16194 21592 26990 32388 40485 43184 53980 64776 80970 86368 107960 129552 161940 172736 215920 259104 323880 345472 431840 518208 647760 690944 863680 1036416 1295520 1381888 1727360 2072832 2591040 2763776 3454720 4145664 5182080 6909440 8291328 10364160 13818880 20728320 41456640