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541422252 = 223371937693
BaseRepresentation
bin100000010001010…
…111001010101100
31101201210002201000
4200101113022230
52102101003002
6125420320300
716263004350
oct4021271254
91351702630
10541422252
11258689608
121313a3090
13882290c7
1451c99460
15327eb61c
hex204572ac

541422252 has 96 divisors (see below), whose sum is σ = 1688691200. Its totient is φ = 146546496.

The previous prime is 541422227. The next prime is 541422253. The reversal of 541422252 is 252224145.

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 (541422253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4483 + ... + 33210.

Almost surely, 2541422252 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 541422252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844345600).

541422252 is an abundant number, since it is smaller than the sum of its proper divisors (1147268948).

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

541422252 is a wasteful number, since it uses less digits than its factorization.

541422252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37732 (or 37724 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 541422252 is about 23268.4819444673. The cubic root of 541422252 is about 815.0395815521.

Adding to 541422252 its reverse (252224145), we get a palindrome (793646397).

The spelling of 541422252 in words is "five hundred forty-one million, four hundred twenty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4788 7182 14364 37693 75386 113079 150772 226158 263851 339237 452316 527702 678474 716167 791553 1017711 1055404 1356948 1432334 1583106 2035422 2148501 2374659 2864668 3166212 4070844 4297002 4749318 5013169 6445503 7123977 8594004 9498636 10026338 12891006 14247954 15039507 19336509 20052676 25782012 28495908 30079014 38673018 45118521 60158028 77346036 90237042 135355563 180474084 270711126 541422252