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40067496 = 23327241277
BaseRepresentation
bin1001100011011…
…0000110101000
32210101122021100
42120312012220
540224124441
63550441400
7664365600
oct230660650
983348240
1040067496
1120687337
1211503260
1383bb4a1
14546dc00
1537b6cb6
hex26361a8

40067496 has 144 divisors (see below), whose sum is σ = 129778740. Its totient is φ = 11128320.

The previous prime is 40067483. The next prime is 40067497. The reversal of 40067496 is 69476004.

It can be written as a sum of positive squares in 2 ways, for example, as 32148900 + 7918596 = 5670^2 + 2814^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 40067496.

It is not an unprimeable number, because it can be changed into a prime (40067497) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 144510 + ... + 144786.

Almost surely, 240067496 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 40067496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64889370).

40067496 is an abundant number, since it is smaller than the sum of its proper divisors (89711244).

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

40067496 is a wasteful number, since it uses less digits than its factorization.

40067496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 40067496 is about 6329.8890985546. The cubic root of 40067496 is about 342.1874421342.

It can be divided in two parts, 400 and 67496, that added together give a triangular number (67896 = T368).

The spelling of 40067496 in words is "forty million, sixty-seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 49 56 63 72 82 84 98 123 126 147 164 168 196 246 252 277 287 294 328 369 392 441 492 504 554 574 588 738 831 861 882 984 1108 1148 1176 1476 1662 1722 1764 1939 2009 2216 2296 2493 2583 2952 3324 3444 3528 3878 4018 4986 5166 5817 6027 6648 6888 7756 8036 9972 10332 11357 11634 12054 13573 15512 16072 17451 18081 19944 20664 22714 23268 24108 27146 34071 34902 36162 40719 45428 46536 48216 54292 68142 69804 72324 79499 81438 90856 102213 108584 122157 136284 139608 144648 158998 162876 204426 238497 244314 272568 317996 325752 408852 476994 488628 556493 635992 715491 817704 953988 977256 1112986 1430982 1669479 1907976 2225972 2861964 3338958 4451944 5008437 5723928 6677916 10016874 13355832 20033748 40067496