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40019931 = 3272371389
BaseRepresentation
bin1001100010101…
…0011111011011
32210022020000200
42120222133123
540221114211
63545433243
7664110120
oct230523733
983266020
1040019931
1120654626
121149b823
1383a2943
14545a747
1537a7b56
hex262a7db

40019931 has 48 divisors (see below), whose sum is σ = 70087680. Its totient is φ = 21510720.

The previous prime is 40019911. The next prime is 40019933. The reversal of 40019931 is 13991004.

40019931 is a nontrivial binomial coefficient, being equal to C(8947, 2).

It is not a de Polignac number, because 40019931 - 210 = 40018907 is a prime.

It is a super-2 number, since 2×400199312 = 3203189754489522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40019895 and 40019904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40019933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102685 + ... + 103073.

It is an arithmetic number, because the mean of its divisors is an integer number (1460160).

Almost surely, 240019931 is an apocalyptic number.

40019931 is the 8946-th triangular number.

40019931 is a deficient number, since it is larger than the sum of its proper divisors (30067749).

40019931 is a wasteful number, since it uses less digits than its factorization.

40019931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 40019931 is about 6326.1308080058. The cubic root of 40019931 is about 342.0519824545.

The spelling of 40019931 in words is "forty million, nineteen thousand, nine hundred thirty-one".

Divisors: 1 3 7 9 21 23 63 69 71 161 207 213 389 483 497 639 1167 1449 1491 1633 2723 3501 4473 4899 8169 8947 11431 14697 24507 26841 27619 34293 62629 80523 82857 102879 187887 193333 248571 563661 579999 635237 1739997 1905711 4446659 5717133 13339977 40019931