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40112496 = 243619181
BaseRepresentation
bin1001100100000…
…1000101110000
32210110221000000
42121001011300
540232044441
63551430000
7664644024
oct231010560
983427000
1040112496
1120708126
1211525300
138405b08
145482384
1537c52b6
hex2641170

40112496 has 140 divisors (see below), whose sum is σ = 123334120. Its totient is φ = 12597120.

The previous prime is 40112491. The next prime is 40112509. The reversal of 40112496 is 69421104.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40112491) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 221526 + ... + 221706.

It is an arithmetic number, because the mean of its divisors is an integer number (880958).

Almost surely, 240112496 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 40112496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61667060).

40112496 is an abundant number, since it is smaller than the sum of its proper divisors (83221624).

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

40112496 is a wasteful number, since it uses less digits than its factorization.

40112496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40112496 is about 6333.4426657230. The cubic root of 40112496 is about 342.3154983339.

The spelling of 40112496 in words is "forty million, one hundred twelve thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 181 216 228 243 304 324 342 362 432 456 486 513 543 648 684 724 729 912 972 1026 1086 1296 1368 1448 1458 1539 1629 1944 2052 2172 2736 2896 2916 3078 3258 3439 3888 4104 4344 4617 4887 5832 6156 6516 6878 8208 8688 9234 9774 10317 11664 12312 13032 13756 13851 14661 18468 19548 20634 24624 26064 27512 27702 29322 30951 36936 39096 41268 43983 55024 55404 58644 61902 73872 78192 82536 87966 92853 110808 117288 123804 131949 165072 175932 185706 221616 234576 247608 263898 278559 351864 371412 495216 527796 557118 703728 742824 835677 1055592 1114236 1485648 1671354 2111184 2228472 2507031 3342708 4456944 5014062 6685416 10028124 13370832 20056248 40112496