Search a number
-
+
41229420 = 22351783487
BaseRepresentation
bin1001110101000…
…1110001101100
32212120200010120
42131101301230
541023320140
64031404540
71010305251
oct235216154
985520116
1041229420
1121300301
1211983750
13870730b
145693428
1539461d0
hex2751c6c

41229420 has 96 divisors (see below), whose sum is σ = 123959808. Its totient is φ = 10202112.

The previous prime is 41229379. The next prime is 41229431. The reversal of 41229420 is 2492214.

41229420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 84417 + ... + 84903.

It is an arithmetic number, because the mean of its divisors is an integer number (1291248).

Almost surely, 241229420 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 41229420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61979904).

41229420 is an abundant number, since it is smaller than the sum of its proper divisors (82730388).

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

41229420 is a wasteful number, since it uses less digits than its factorization.

41229420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 41229420 is about 6421.0139386237. The cubic root of 41229420 is about 345.4636907257.

The spelling of 41229420 in words is "forty-one million, two hundred twenty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 83 85 102 166 170 204 249 255 332 340 415 487 498 510 830 974 996 1020 1245 1411 1461 1660 1948 2435 2490 2822 2922 4233 4870 4980 5644 5844 7055 7305 8279 8466 9740 14110 14610 16558 16932 21165 24837 28220 29220 33116 40421 41395 42330 49674 80842 82790 84660 99348 121263 124185 161684 165580 202105 242526 248370 404210 485052 496740 606315 687157 808420 1212630 1374314 2061471 2425260 2748628 3435785 4122942 6871570 8245884 10307355 13743140 20614710 41229420