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40955112 = 23331121567
BaseRepresentation
bin1001110000111…
…0110011101000
32212001201212000
42130032303220
540441030422
64021451000
71005053442
oct234166350
985051760
1040955112
1121133200
1211870a60
13863c4c3
145621492
1538decac
hex270ece8

40955112 has 96 divisors (see below), whose sum is σ = 125126400. Its totient is φ = 12402720.

The previous prime is 40955107. The next prime is 40955137. The reversal of 40955112 is 21155904.

40955112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 23 ways as a sum of consecutive naturals, for example, 25353 + ... + 26919.

It is an arithmetic number, because the mean of its divisors is an integer number (1303400).

Almost surely, 240955112 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 40955112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62563200).

40955112 is an abundant number, since it is smaller than the sum of its proper divisors (84171288).

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

40955112 is a wasteful number, since it uses less digits than its factorization.

40955112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 40955112 is about 6399.6181136065. The cubic root of 40955112 is about 344.6958377805.

The spelling of 40955112 in words is "forty million, nine hundred fifty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 1567 2178 2376 2904 3134 3267 4356 4701 6268 6534 8712 9402 12536 13068 14103 17237 18804 26136 28206 34474 37608 42309 51711 56412 68948 84618 103422 112824 137896 155133 169236 189607 206844 310266 338472 379214 413688 465399 568821 620532 758428 930798 1137642 1241064 1516856 1706463 1861596 2275284 3412926 3723192 4550568 5119389 6825852 10238778 13651704 20477556 40955112