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40683328 = 267212973
BaseRepresentation
bin1001101100110…
…0011101000000
32211112221000221
42123030131000
540403331303
64011552424
71002542200
oct233143500
984487027
1040683328
1120a67a94
121175b714
13857589a
145590400
1538894bd
hex26cc740

40683328 has 42 divisors (see below), whose sum is σ = 93918786. Its totient is φ = 17434368.

The previous prime is 40683311. The next prime is 40683337. The reversal of 40683328 is 82338604.

It can be written as a sum of positive squares in only one way, i.e., 21603904 + 19079424 = 4648^2 + 4368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40683293 and 40683302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3351 + ... + 9622.

Almost surely, 240683328 is an apocalyptic number.

It is an amenable number.

40683328 is an abundant number, since it is smaller than the sum of its proper divisors (53235458).

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

40683328 is a wasteful number, since it uses less digits than its factorization.

40683328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12999 (or 12982 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 40683328 is about 6378.3483755593. The cubic root of 40683328 is about 343.9316612039.

It can be divided in two parts, 4068 and 3328, that added together give a square (7396 = 862).

The spelling of 40683328 in words is "forty million, six hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 12973 25946 51892 90811 103784 181622 207568 363244 415136 635677 726488 830272 1271354 1452976 2542708 2905952 5085416 5811904 10170832 20341664 40683328