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40951152 = 243211103251
BaseRepresentation
bin1001110000110…
…1110101110000
32212001112102100
42130031311300
540440414102
64021420400
71005036054
oct234156560
985045370
1040951152
1121130230
121186a700
13863a768
14561dc64
1538dda1c
hex270dd70

40951152 has 120 divisors (see below), whose sum is σ = 126741888. Its totient is φ = 12240000.

The previous prime is 40951117. The next prime is 40951153. The reversal of 40951152 is 25115904.

40951152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40951153) by changing a digit.

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, 163027 + ... + 163277.

Almost surely, 240951152 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 40951152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63370944).

40951152 is an abundant number, since it is smaller than the sum of its proper divisors (85790736).

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

40951152 is a wasteful number, since it uses less digits than its factorization.

40951152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

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

The square root of 40951152 is about 6399.3087126658. The cubic root of 40951152 is about 344.6847277347.

The spelling of 40951152 in words is "forty million, nine hundred fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 103 132 144 176 198 206 251 264 309 396 412 502 528 618 753 792 824 927 1004 1133 1236 1506 1584 1648 1854 2008 2259 2266 2472 2761 3012 3399 3708 4016 4518 4532 4944 5522 6024 6798 7416 8283 9036 9064 10197 11044 12048 13596 14832 16566 18072 18128 20394 22088 24849 25853 27192 33132 36144 40788 44176 49698 51706 54384 66264 77559 81576 99396 103412 132528 155118 163152 198792 206824 232677 284383 310236 397584 413648 465354 568766 620472 853149 930708 1137532 1240944 1706298 1861416 2275064 2559447 3412596 3722832 4550128 5118894 6825192 10237788 13650384 20475576 40951152