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40948188 = 22323891667
BaseRepresentation
bin1001110000110…
…1000111011100
32212001101100120
42130031013130
540440320223
64021354540
71005024321
oct234150734
985041316
1040948188
1121128a86
1211868a50
1386392c8
14561cb48
1538dcbe3
hex270d1dc

40948188 has 48 divisors (see below), whose sum is σ = 100880640. Its totient is φ = 12901504.

The previous prime is 40948181. The next prime is 40948213. The reversal of 40948188 is 88184904.

40948188 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 (40948181) 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 15 ways as a sum of consecutive naturals, for example, 23731 + ... + 25397.

It is an arithmetic number, because the mean of its divisors is an integer number (2101680).

Almost surely, 240948188 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 40948188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50440320).

40948188 is an abundant number, since it is smaller than the sum of its proper divisors (59932452).

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

40948188 is a wasteful number, since it uses less digits than its factorization.

40948188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 40948188 is about 6399.0771209605. The cubic root of 40948188 is about 344.6764115650.

The spelling of 40948188 in words is "forty million, nine hundred forty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 89 92 138 178 267 276 356 534 1068 1667 2047 3334 4094 5001 6141 6668 8188 10002 12282 20004 24564 38341 76682 115023 148363 153364 230046 296726 445089 460092 593452 890178 1780356 3412349 6824698 10237047 13649396 20474094 40948188