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541412658 = 232291496961
BaseRepresentation
bin100000010001010…
…100110100110010
31101201202121112200
4200101110310302
52102100201113
6125420204030
716262634363
oct4021246462
91351677480
10541412658
11258682386
12131399616
1388224927
1451c95b6a
15327e8873
hex20454d32

541412658 has 48 divisors (see below), whose sum is σ = 1221831000. Its totient is φ = 173053440.

The previous prime is 541412647. The next prime is 541412659. The reversal of 541412658 is 856214145.

It is a happy number.

541412658 is a `hidden beast` number, since 541 + 41 + 26 + 58 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 439866729 + 101545929 = 20973^2 + 10077^2 .

It is not an unprimeable number, because it can be changed into a prime (541412659) 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, 74298 + ... + 81258.

Almost surely, 2541412658 is an apocalyptic number.

541412658 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 541412658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610915500).

541412658 is an abundant number, since it is smaller than the sum of its proper divisors (680418342).

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

541412658 is a wasteful number, since it uses less digits than its factorization.

541412658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7147 (or 7144 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 541412658 is about 23268.2757848535. The cubic root of 541412658 is about 815.0347673577.

The spelling of 541412658 in words is "five hundred forty-one million, four hundred twelve thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 9 18 29 58 87 149 174 261 298 447 522 894 1341 2682 4321 6961 8642 12963 13922 20883 25926 38889 41766 62649 77778 125298 201869 403738 605607 1037189 1211214 1816821 2074378 3111567 3633642 6223134 9334701 18669402 30078481 60156962 90235443 180470886 270706329 541412658