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41422752 = 25357761
BaseRepresentation
bin1001111000000…
…0111110100000
32212221111100000
42132000332200
541101012002
64035500000
71012042020
oct236007640
985844300
1041422752
1121422588
1211a57600
138774307
145703a80
15398361c
hex2780fa0

41422752 has 144 divisors (see below), whose sum is σ = 139793472. Its totient is φ = 11819520.

The previous prime is 41422741. The next prime is 41422753. The reversal of 41422752 is 25722414.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (41422753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54052 + ... + 54812.

It is an arithmetic number, because the mean of its divisors is an integer number (970788).

Almost surely, 241422752 is an apocalyptic number.

41422752 is a gapful number since it is divisible by the number (42) 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 41422752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69896736).

41422752 is an abundant number, since it is smaller than the sum of its proper divisors (98370720).

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

41422752 is an equidigital number, since it uses as much as digits as its factorization.

41422752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 773 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 41422752 is about 6436.0509631295. The cubic root of 41422752 is about 346.0028288942.

The spelling of 41422752 in words is "forty-one million, four hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 761 864 972 1008 1134 1296 1512 1522 1701 1944 2016 2268 2283 2592 3024 3044 3402 3888 4536 4566 5327 6048 6088 6804 6849 7776 9072 9132 10654 12176 13608 13698 15981 18144 18264 20547 21308 24352 27216 27396 31962 36528 41094 42616 47943 54432 54792 61641 63924 73056 82188 85232 95886 109584 123282 127848 143829 164376 170464 184923 191772 219168 246564 255696 287658 328752 369846 383544 431487 493128 511392 575316 657504 739692 767088 862974 986256 1150632 1294461 1479384 1534176 1725948 1972512 2301264 2588922 2958768 3451896 4602528 5177844 5917536 6903792 10355688 13807584 20711376 41422752