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55545800 = 2352172312
BaseRepresentation
bin1101001111100…
…0111111001000
310212112000111212
43103320333020
5103204431200
65302312252
71243063052
oct323707710
9125460455
1055545800
1129399422
1216728688
13b67a74b
14753c8d2
154d23035
hex34f8fc8

55545800 has 108 divisors (see below), whose sum is σ = 141755715. Its totient is φ = 20236800.

The previous prime is 55545781. The next prime is 55545811. The reversal of 55545800 is 854555.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 36168196 + 19377604 = 6014^2 + 4402^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5270.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1791785 + ... + 1791815.

Almost surely, 255545800 is an apocalyptic number.

55545800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55545800

55545800 is an abundant number, since it is smaller than the sum of its proper divisors (86209915).

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

55545800 is a wasteful number, since it uses less digits than its factorization.

55545800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

The square root of 55545800 is about 7452.9054737062. The cubic root of 55545800 is about 381.5490782302.

Multiplying 55545800 by its sum of digits (32), we get a square (1777465600 = 421602).

Multiplying 55545800 by its product of nonzero digits (20000), we get a square (1110916000000 = 10540002).

The spelling of 55545800 in words is "fifty-five million, five hundred forty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 17 20 25 31 34 40 50 62 68 85 100 124 136 155 170 200 248 289 310 340 425 527 578 620 680 775 850 961 1054 1156 1240 1445 1550 1700 1922 2108 2312 2635 2890 3100 3400 3844 4216 4805 5270 5780 6200 7225 7688 8959 9610 10540 11560 13175 14450 16337 17918 19220 21080 24025 26350 28900 32674 35836 38440 44795 48050 52700 57800 65348 71672 81685 89590 96100 105400 130696 163370 179180 192200 223975 277729 326740 358360 408425 447950 555458 653480 816850 895900 1110916 1388645 1633700 1791800 2221832 2777290 3267400 5554580 6943225 11109160 13886450 27772900 55545800