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540575550 = 232523732467
BaseRepresentation
bin100000001110001…
…000011100111110
31101200012002020200
4200032020130332
52101341404200
6125350224330
716252550004
oct4016103476
91350162220
10540575550
11258160459
121310550a6
1387cc08b8
1451b18a74
15326d0800
hex2038873e

540575550 has 72 divisors (see below), whose sum is σ = 1491644856. Its totient is φ = 140253120.

The previous prime is 540575527. The next prime is 540575653. The reversal of 540575550 is 55575045.

It is a happy number.

540575550 is a `hidden beast` number, since 54 + 0 + 57 + 5 + 550 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 417 + ... + 32883.

Almost surely, 2540575550 is an apocalyptic number.

540575550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 540575550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745822428).

540575550 is an abundant number, since it is smaller than the sum of its proper divisors (951069306).

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

540575550 is a wasteful number, since it uses less digits than its factorization.

540575550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32522 (or 32514 counting only the distinct ones).

The product of its (nonzero) digits is 87500, while the sum is 36.

The square root of 540575550 is about 23250.2806434675. The cubic root of 540575550 is about 814.6144939309.

The spelling of 540575550 in words is "five hundred forty million, five hundred seventy-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1665 1850 2775 3330 5550 8325 16650 32467 64934 97401 162335 194802 292203 324670 487005 584406 811675 974010 1201279 1461015 1623350 2402558 2435025 2922030 3603837 4870050 6006395 7207674 7305075 10811511 12012790 14610150 18019185 21623022 30031975 36038370 54057555 60063950 90095925 108115110 180191850 270287775 540575550