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40996368 = 243474519
BaseRepresentation
bin1001110001100…
…0111000010000
32212010211110000
42130120320100
540443340433
64022410000
71005314640
oct234307020
985124400
1040996368
11211611a6
1211890900
13865520a
145632520
1538ec113
hex2718e10

40996368 has 100 divisors (see below), whose sum is σ = 135636160. Its totient is φ = 11710656.

The previous prime is 40996313. The next prime is 40996409. The reversal of 40996368 is 86369904.

40996368 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 636 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6813 + ... + 11331.

Almost surely, 240996368 is an apocalyptic number.

40996368 is a gapful number since it is divisible by the number (48) 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 40996368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67818080).

40996368 is an abundant number, since it is smaller than the sum of its proper divisors (94639792).

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

40996368 is a wasteful number, since it uses less digits than its factorization.

40996368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 40996368 is about 6402.8406196000. The cubic root of 40996368 is about 344.8115416847.

The spelling of 40996368 in words is "forty million, nine hundred ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4519 4536 9038 9072 13557 18076 27114 31633 36152 40671 54228 63266 72304 81342 94899 108456 122013 126532 162684 189798 216912 244026 253064 284697 325368 366039 379596 488052 506128 569394 650736 732078 759192 854091 976104 1138788 1464156 1518384 1708182 1952208 2277576 2562273 2928312 3416364 4555152 5124546 5856624 6832728 10249092 13665456 20498184 40996368