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40788684 = 2234312131
BaseRepresentation
bin1001101110011…
…0001011001100
32211202021120000
42123212023030
540420214214
64014124300
71003461306
oct233461314
984667500
1040788684
112102a162
12117b0690
1385b1821
1455ba976
1538aa809
hex26e62cc

40788684 has 90 divisors (see below), whose sum is σ = 111021372. Its totient is φ = 13057200.

The previous prime is 40788679. The next prime is 40788731. The reversal of 40788684 is 48688704.

40788684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 29 ways as a sum of consecutive naturals, for example, 311299 + ... + 311429.

Almost surely, 240788684 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 40788684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55510686).

40788684 is an abundant number, since it is smaller than the sum of its proper divisors (70232688).

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

40788684 is a wasteful number, since it uses less digits than its factorization.

40788684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 40788684 is about 6386.6019133809. The cubic root of 40788684 is about 344.2282940164.

The spelling of 40788684 in words is "forty million, seven hundred eighty-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 131 162 186 262 279 324 372 393 524 558 786 837 961 1116 1179 1572 1674 1922 2358 2511 2883 3348 3537 3844 4061 4716 5022 5766 7074 8122 8649 10044 10611 11532 12183 14148 16244 17298 21222 24366 25947 34596 36549 42444 48732 51894 73098 77841 103788 109647 125891 146196 155682 219294 251782 311364 328941 377673 438588 503564 657882 755346 1133019 1315764 1510692 2266038 3399057 4532076 6798114 10197171 13596228 20394342 40788684