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40917940 = 2257243971
BaseRepresentation
bin1001110000010…
…1101110110100
32211222211212021
42130011232310
540433333230
64021002524
71004540200
oct234055664
984884767
1040917940
1121108288
1211853444
1386285cb
145611b00
1538d3c7a
hex2705bb4

40917940 has 72 divisors (see below), whose sum is σ = 102386592. Its totient is φ = 13688640.

The previous prime is 40917937. The next prime is 40917953. The reversal of 40917940 is 4971904.

40917940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40917896 and 40917905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41655 + ... + 42625.

It is an arithmetic number, because the mean of its divisors is an integer number (1422036).

Almost surely, 240917940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40917940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51193296).

40917940 is an abundant number, since it is smaller than the sum of its proper divisors (61468652).

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

40917940 is a wasteful number, since it uses less digits than its factorization.

40917940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 40917940 is about 6396.7132185209. The cubic root of 40917940 is about 344.5915210339.

The spelling of 40917940 in words is "forty million, nine hundred seventeen thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 86 98 140 172 196 215 245 301 430 490 602 860 971 980 1204 1505 1942 2107 3010 3884 4214 4855 6020 6797 8428 9710 10535 13594 19420 21070 27188 33985 41753 42140 47579 67970 83506 95158 135940 167012 190316 208765 237895 292271 417530 475790 584542 835060 951580 1169084 1461355 2045897 2922710 4091794 5845420 8183588 10229485 20458970 40917940