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40366944 = 2533192459
BaseRepresentation
bin1001100111111…
…1001101100000
32210221212001000
42121333031200
540313220234
64001112000
71000053612
oct231771540
983855030
1040366944
1120871312
1211628600
138494887
14550adb2
153825899
hex267f360

40366944 has 96 divisors (see below), whose sum is σ = 123984000. Its totient is φ = 12742272.

The previous prime is 40366939. The next prime is 40366957. The reversal of 40366944 is 44966304.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40366899 and 40366908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15187 + ... + 17645.

It is an arithmetic number, because the mean of its divisors is an integer number (1291500).

Almost surely, 240366944 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 40366944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61992000).

40366944 is an abundant number, since it is smaller than the sum of its proper divisors (83617056).

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

40366944 is a wasteful number, since it uses less digits than its factorization.

40366944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 40366944 is about 6353.4985637836. The cubic root of 40366944 is about 343.0377833810.

The spelling of 40366944 in words is "forty million, three hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2459 2736 4104 4918 5472 7377 8208 9836 14754 16416 19672 22131 29508 39344 44262 46721 59016 66393 78688 88524 93442 118032 132786 140163 177048 186884 236064 265572 280326 354096 373768 420489 531144 560652 708192 747536 840978 1062288 1121304 1261467 1495072 1681956 2124576 2242608 2522934 3363912 4485216 5045868 6727824 10091736 13455648 20183472 40366944