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541553440 = 2553384709
BaseRepresentation
bin100000010001110…
…111001100100000
31101202000202122211
4200101313030200
52102114202230
6125423211504
716264062001
oct4021671440
91352022584
10541553440
1125876912a
12131446b94
1388273a2c
1451cd11a8
153282542a
hex20477320

541553440 has 24 divisors (see below), whose sum is σ = 1279420380. Its totient is φ = 216621312.

The previous prime is 541553413. The next prime is 541553471. The reversal of 541553440 is 44355145.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 523677456 + 17875984 = 22884^2 + 4228^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1692195 + ... + 1692514.

Almost surely, 2541553440 is an apocalyptic number.

It is an amenable number.

541553440 is an abundant number, since it is smaller than the sum of its proper divisors (737866940).

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

541553440 is a wasteful number, since it uses less digits than its factorization.

541553440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384724 (or 3384716 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 541553440 is about 23271.3007801455. The cubic root of 541553440 is about 815.1054049629.

The spelling of 541553440 in words is "five hundred forty-one million, five hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3384709 6769418 13538836 16923545 27077672 33847090 54155344 67694180 108310688 135388360 270776720 541553440