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41954112 = 26348093
BaseRepresentation
bin1010000000001…
…0101101000000
32220221111020000
42200002231000
541220012422
64055120000
71016414124
oct240025500
986844200
1041954112
1121755822
1212073000
1388cc125
145801584
153a3acac
hex2802b40

41954112 has 70 divisors (see below), whose sum is σ = 124380498. Its totient is φ = 13982976.

The previous prime is 41954089. The next prime is 41954117. The reversal of 41954112 is 21145914.

It can be written as a sum of positive squares in only one way, i.e., 34857216 + 7096896 = 5904^2 + 2664^2 .

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 (41954117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1138 + ... + 9230.

Almost surely, 241954112 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 41954112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62190249).

41954112 is an abundant number, since it is smaller than the sum of its proper divisors (82426386).

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

41954112 is an equidigital number, since it uses as much as digits as its factorization.

41954112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8117 (or 8098 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 41954112 is about 6477.1993948002. The cubic root of 41954112 is about 347.4760247766.

The spelling of 41954112 in words is "forty-one million, nine hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 8093 16186 24279 32372 48558 64744 72837 97116 129488 145674 194232 218511 258976 291348 388464 437022 517952 582696 655533 776928 874044 1165392 1311066 1553856 1748088 2330784 2622132 3496176 4661568 5244264 6992352 10488528 13984704 20977056 41954112