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40085976 = 23373143179
BaseRepresentation
bin1001100011101…
…0100111011000
32210102120121210
42120322213120
540230222401
63551103120
7664503510
oct230724730
983376553
1040085976
112069a207
1211511aa0
1383c6a18
145476840
1537bc4d6
hex263a9d8

40085976 has 128 divisors (see below), whose sum is σ = 121651200. Its totient is φ = 10765440.

The previous prime is 40085939. The next prime is 40085977. The reversal of 40085976 is 67958004.

40085976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40085977) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 223855 + ... + 224033.

It is an arithmetic number, because the mean of its divisors is an integer number (950400).

Almost surely, 240085976 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 40085976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60825600).

40085976 is an abundant number, since it is smaller than the sum of its proper divisors (81565224).

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

40085976 is a wasteful number, since it uses less digits than its factorization.

40085976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 40085976 is about 6331.3486714917. The cubic root of 40085976 is about 342.2400421435.

The spelling of 40085976 in words is "forty million, eighty-five thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 43 56 62 84 86 93 124 129 168 172 179 186 217 248 258 301 344 358 372 434 516 537 602 651 716 744 868 903 1032 1074 1204 1253 1302 1333 1432 1736 1806 2148 2408 2506 2604 2666 3612 3759 3999 4296 5012 5208 5332 5549 7224 7518 7697 7998 9331 10024 10664 11098 15036 15394 15996 16647 18662 22196 23091 27993 30072 30788 31992 33294 37324 38843 44392 46182 53879 55986 61576 66588 74648 77686 92364 107758 111972 116529 133176 155372 161637 184728 215516 223944 233058 238607 310744 323274 431032 466116 477214 646548 715821 932232 954428 1293096 1431642 1670249 1908856 2863284 3340498 5010747 5726568 6680996 10021494 13361992 20042988 40085976