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41779040 = 2552311353
BaseRepresentation
bin1001111101011…
…1111101100000
32220121121001212
42133113331200
541143412130
64051245252
71015054532
oct237277540
986547055
1041779040
1121646236
1211ba9828
13886a534
145797852
153a03e95
hex27d7f60

41779040 has 48 divisors (see below), whose sum is σ = 103003488. Its totient is φ = 15983616.

The previous prime is 41779039. The next prime is 41779051. The reversal of 41779040 is 4097714.

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 = 41778988 and 41779006.

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, 1997 + ... + 9356.

It is an arithmetic number, because the mean of its divisors is an integer number (2145906).

Almost surely, 241779040 is an apocalyptic number.

41779040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41779040 is an abundant number, since it is smaller than the sum of its proper divisors (61224448).

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

41779040 is a wasteful number, since it uses less digits than its factorization.

41779040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11391 (or 11383 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 41779040 is about 6463.6707836956. The cubic root of 41779040 is about 346.9920186854.

The spelling of 41779040 in words is "forty-one million, seven hundred seventy-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 11353 22706 45412 56765 90824 113530 181648 227060 261119 363296 454120 522238 908240 1044476 1305595 1816480 2088952 2611190 4177904 5222380 8355808 10444760 20889520 41779040