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40581072 = 24327127317
BaseRepresentation
bin1001101011001…
…1011111010000
32211100201202200
42122303133100
540342043242
64005443200
71001635110
oct232633720
984321680
1040581072
11209a8184
1211710500
13853b18c
145565040
15386904c
hex26b37d0

40581072 has 120 divisors (see below), whose sum is σ = 131229696. Its totient is φ = 11467008.

The previous prime is 40581067. The next prime is 40581097. The reversal of 40581072 is 27018504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127858 + ... + 128174.

Almost surely, 240581072 is an apocalyptic number.

40581072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40581072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65614848).

40581072 is an abundant number, since it is smaller than the sum of its proper divisors (90648624).

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

40581072 is a wasteful number, since it uses less digits than its factorization.

40581072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 40581072 is about 6370.3274641105. The cubic root of 40581072 is about 343.6432663891.

Adding to 40581072 its reverse (27018504), we get a palindrome (67599576).

The spelling of 40581072 in words is "forty million, five hundred eighty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 127 144 168 252 254 317 336 381 504 508 634 762 889 951 1008 1016 1143 1268 1524 1778 1902 2032 2219 2286 2536 2667 2853 3048 3556 3804 4438 4572 5072 5334 5706 6096 6657 7112 7608 8001 8876 9144 10668 11412 13314 14224 15216 16002 17752 18288 19971 21336 22824 26628 32004 35504 39942 40259 42672 45648 53256 64008 79884 80518 106512 120777 128016 159768 161036 241554 281813 319536 322072 362331 483108 563626 644144 724662 845439 966216 1127252 1449324 1690878 1932432 2254504 2536317 2898648 3381756 4509008 5072634 5797296 6763512 10145268 13527024 20290536 40581072