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55597800 = 23352194877
BaseRepresentation
bin1101010000010…
…1101011101000
310212121122211210
43110011223220
5103213112200
65303353120
71243400466
oct324055350
9125548753
1055597800
11294244a5
12167527a0
13b69830b
147553836
154d33650
hex3505ae8

55597800 has 96 divisors (see below), whose sum is σ = 181461600. Its totient is φ = 14042880.

The previous prime is 55597793. The next prime is 55597811. The reversal of 55597800 is 879555.

It is a super-2 number, since 2×555978002 = 6182230729680000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8962 + ... + 13838.

It is an arithmetic number, because the mean of its divisors is an integer number (1890225).

Almost surely, 255597800 is an apocalyptic number.

55597800 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 55597800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90730800).

55597800 is an abundant number, since it is smaller than the sum of its proper divisors (125863800).

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

55597800 is a wasteful number, since it uses less digits than its factorization.

55597800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4915 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 39.

The square root of 55597800 is about 7456.3932299739. The cubic root of 55597800 is about 381.6681053151.

The spelling of 55597800 in words is "fifty-five million, five hundred ninety-seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 4877 5700 9754 11400 14631 19508 24385 29262 39016 48770 58524 73155 92663 97540 117048 121925 146310 185326 195080 243850 277989 292620 365775 370652 463315 487700 555978 585240 731550 741304 926630 975400 1111956 1389945 1463100 1853260 2223912 2316575 2779890 2926200 3706520 4633150 5559780 6949725 9266300 11119560 13899450 18532600 27798900 55597800