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541385352 = 233212795879
BaseRepresentation
bin100000010001001…
…110001010001000
31101201201020002100
4200101032022020
52102043312402
6125415433400
716262461644
oct4021161210
91351636070
10541385352
11258663912
12131385860
1388215381
1451c89c24
15327e071c
hex2044e288

541385352 has 48 divisors (see below), whose sum is σ = 1467648000. Its totient is φ = 180290016.

The previous prime is 541385329. The next prime is 541385359. The reversal of 541385352 is 253583145.

541385352 is a `hidden beast` number, since 541 + 3 + 85 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (541385359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89149 + ... + 95027.

It is an arithmetic number, because the mean of its divisors is an integer number (30576000).

Almost surely, 2541385352 is an apocalyptic number.

It is an amenable number.

541385352 is an abundant number, since it is smaller than the sum of its proper divisors (926262648).

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

541385352 is a wasteful number, since it uses less digits than its factorization.

541385352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 7163 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 541385352 is about 23267.6890128779. The cubic root of 541385352 is about 815.0210651085.

The spelling of 541385352 in words is "five hundred forty-one million, three hundred eighty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1279 2558 3837 5116 5879 7674 10232 11511 11758 15348 17637 23022 23516 30696 35274 46044 47032 52911 70548 92088 105822 141096 211644 423288 7519241 15038482 22557723 30076964 45115446 60153928 67673169 90230892 135346338 180461784 270692676 541385352