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41220432 = 24321153491
BaseRepresentation
bin1001110100111…
…1100101010000
32212120012210200
42131033211100
541023023212
64031255200
71010240121
oct235174520
985505720
1041220432
11212a4580
121197a500
1387031b6
145690048
1539436dc
hex274f950

41220432 has 120 divisors (see below), whose sum is σ = 128482848. Its totient is φ = 12230400.

The previous prime is 41220401. The next prime is 41220437. The reversal of 41220432 is 23402214.

41220432 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41220437) 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, 83707 + ... + 84197.

Almost surely, 241220432 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 41220432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64241424).

41220432 is an abundant number, since it is smaller than the sum of its proper divisors (87262416).

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

41220432 is a wasteful number, since it uses less digits than its factorization.

41220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 41220432 is about 6420.3140110122. The cubic root of 41220432 is about 345.4385852443.

Adding to 41220432 its reverse (23402214), we get a palindrome (64622646).

The spelling of 41220432 in words is "forty-one million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 53 66 72 88 99 106 132 144 159 176 198 212 264 318 396 424 477 491 528 583 636 792 848 954 982 1166 1272 1473 1584 1749 1908 1964 2332 2544 2946 3498 3816 3928 4419 4664 5247 5401 5892 6996 7632 7856 8838 9328 10494 10802 11784 13992 16203 17676 20988 21604 23568 26023 27984 32406 35352 41976 43208 48609 52046 64812 70704 78069 83952 86416 97218 104092 129624 156138 194436 208184 234207 259248 286253 312276 388872 416368 468414 572506 624552 777744 858759 936828 1145012 1249104 1717518 1873656 2290024 2576277 3435036 3747312 4580048 5152554 6870072 10305108 13740144 20610216 41220432