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541625346 = 23371141269
BaseRepresentation
bin100000010010001…
…000110000000010
31101202011102022000
4200102020300002
52102124002341
6125424524430
716264511433
oct4022106002
91352142260
10541625346
11258808159
12131480716
138829a692
1451d0d48a
153283b8b6
hex20488c02

541625346 has 32 divisors (see below), whose sum is σ = 1220572800. Its totient is φ = 177997680.

The previous prime is 541625339. The next prime is 541625347. The reversal of 541625346 is 643526145.

541625346 is a `hidden beast` number, since 541 + 62 + 53 + 4 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 541625346.

It is not an unprimeable number, because it can be changed into a prime (541625347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66801 + ... + 74468.

It is an arithmetic number, because the mean of its divisors is an integer number (38142900).

Almost surely, 2541625346 is an apocalyptic number.

541625346 is an abundant number, since it is smaller than the sum of its proper divisors (678947454).

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

541625346 is a wasteful number, since it uses less digits than its factorization.

541625346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141351 (or 141345 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 541625346 is about 23272.8456790312. The cubic root of 541625346 is about 815.1414791961.

The spelling of 541625346 in words is "five hundred forty-one million, six hundred twenty-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 1278 1917 3834 141269 282538 423807 847614 1271421 2542842 3814263 7628526 10030099 20060198 30090297 60180594 90270891 180541782 270812673 541625346