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55527840 = 2532538561
BaseRepresentation
bin1101001111010…
…0100110100000
310212111002212200
43103310212200
5103203342330
65302053200
71242656514
oct323644640
9125432780
1055527840
1129386985
121671a200
13b672514
147536144
154d1ca60
hex34f49a0

55527840 has 72 divisors (see below), whose sum is σ = 189493668. Its totient is φ = 14807040.

The previous prime is 55527833. The next prime is 55527841. The reversal of 55527840 is 4872555.

It is a happy number.

55527840 is a `hidden beast` number, since 55 + 527 + 84 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53056656 + 2471184 = 7284^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 55527795 and 55527804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55527841) 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, 17841 + ... + 20720.

Almost surely, 255527840 is an apocalyptic number.

It is an amenable number.

55527840 is an abundant number, since it is smaller than the sum of its proper divisors (133965828).

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

55527840 is a wasteful number, since it uses less digits than its factorization.

55527840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38582 (or 38571 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 55527840 is about 7451.7004770723. The cubic root of 55527840 is about 381.5079508474.

The spelling of 55527840 in words is "fifty-five million, five hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 38561 77122 115683 154244 192805 231366 308488 347049 385610 462732 578415 616976 694098 771220 925464 1156830 1233952 1388196 1542440 1735245 1850928 2313660 2776392 3084880 3470490 3701856 4627320 5552784 6169760 6940980 9254640 11105568 13881960 18509280 27763920 55527840