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41424372 = 22341159197
BaseRepresentation
bin1001111000000…
…1010111110100
32212221120120000
42132001113310
541101034442
64035511300
71012046523
oct236012764
985846500
1041424372
1121423820
1211a58530
138774c82
1457044ba
153983d4c
hex27815f4

41424372 has 120 divisors (see below), whose sum is σ = 120748320. Its totient is φ = 12277440.

The previous prime is 41424367. The next prime is 41424373. The reversal of 41424372 is 27342414.

41424372 is a `hidden beast` number, since 414 + 243 + 7 + 2 = 666.

41424372 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41424373) 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 39 ways as a sum of consecutive naturals, for example, 210178 + ... + 210374.

It is an arithmetic number, because the mean of its divisors is an integer number (1006236).

Almost surely, 241424372 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 41424372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60374160).

41424372 is an abundant number, since it is smaller than the sum of its proper divisors (79323948).

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

41424372 is a wasteful number, since it uses less digits than its factorization.

41424372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 41424372 is about 6436.1768154705. The cubic root of 41424372 is about 346.0073394369.

Adding to 41424372 its reverse (27342414), we get a palindrome (68766786).

The spelling of 41424372 in words is "forty-one million, four hundred twenty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 59 66 81 99 108 118 132 162 177 197 198 236 297 324 354 394 396 531 591 594 649 708 788 891 1062 1182 1188 1298 1593 1773 1782 1947 2124 2167 2364 2596 3186 3546 3564 3894 4334 4779 5319 5841 6372 6501 7092 7788 8668 9558 10638 11623 11682 13002 15957 17523 19116 19503 21276 23246 23364 26004 31914 34869 35046 39006 46492 52569 58509 63828 69738 70092 78012 104607 105138 117018 127853 139476 175527 209214 210276 234036 255706 313821 351054 383559 418428 511412 627642 702108 767118 941463 1150677 1255284 1534236 1882926 2301354 3452031 3765852 4602708 6904062 10356093 13808124 20712186 41424372