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40676272 = 2472132307
BaseRepresentation
bin1001101100101…
…0101110110000
32211112120100121
42123022232300
540403120042
64011500024
71002512500
oct233125660
984476317
1040676272
1120a6275a
1211757614
138572600
14558ba00
153887367
hex26cabb0

40676272 has 90 divisors (see below), whose sum is σ = 99595188. Its totient is φ = 16039296.

The previous prime is 40676269. The next prime is 40676333. The reversal of 40676272 is 27267604.

40676272 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 17 ways as a sum of consecutive naturals, for example, 132343 + ... + 132649.

Almost surely, 240676272 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 40676272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49797594).

40676272 is an abundant number, since it is smaller than the sum of its proper divisors (58918916).

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

40676272 is a wasteful number, since it uses less digits than its factorization.

40676272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 40676272 is about 6377.7952303284. The cubic root of 40676272 is about 343.9117765466.

The spelling of 40676272 in words is "forty million, six hundred seventy-six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 307 338 364 392 614 637 676 728 784 1183 1228 1274 1352 1456 2149 2366 2456 2548 2704 3991 4298 4732 4912 5096 7982 8281 8596 9464 10192 15043 15964 16562 17192 18928 27937 30086 31928 33124 34384 51883 55874 60172 63856 66248 103766 111748 120344 132496 195559 207532 223496 240688 363181 391118 415064 446992 726362 782236 830128 1452724 1564472 2542267 2905448 3128944 5084534 5810896 10169068 20338136 40676272