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55057800 = 23352713109
BaseRepresentation
bin1101001000000…
…1110110001000
310211121020002210
43102001312020
5103043322200
65244025120
71235661240
oct322016610
9124536083
1055057800
1129095816
12165321a0
13b5395a5
147452b20
154c78650
hex3481d88

55057800 has 96 divisors (see below), whose sum is σ = 195076800. Its totient is φ = 12583680.

The previous prime is 55057799. The next prime is 55057817. The reversal of 55057800 is 875055.

It is a happy number.

It is a super-2 number, since 2×550578002 = 6062722681680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2355 + ... + 10754.

It is an arithmetic number, because the mean of its divisors is an integer number (2032050).

Almost surely, 255057800 is an apocalyptic number.

55057800 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 55057800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97538400).

55057800 is an abundant number, since it is smaller than the sum of its proper divisors (140019000).

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

55057800 is a wasteful number, since it uses less digits than its factorization.

55057800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13135 (or 13126 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 55057800 is about 7420.0943390229. The cubic root of 55057800 is about 380.4284180136.

The spelling of 55057800 in words is "fifty-five million, fifty-seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 13109 26218 39327 52436 65545 78654 91763 104872 131090 157308 183526 196635 262180 275289 314616 327725 367052 393270 458815 524360 550578 655450 734104 786540 917630 983175 1101156 1310900 1376445 1573080 1835260 1966350 2202312 2294075 2621800 2752890 3670520 3932700 4588150 5505780 6882225 7865400 9176300 11011560 13764450 18352600 27528900 55057800