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55448000 = 265329239
BaseRepresentation
bin1101001110000…
…1000111000000
310212100001100122
43103201013000
5103143314000
65300235412
71242204656
oct323410700
9125301318
1055448000
11293319a3
121669bb68
13b64508a
147514dd6
154d04085
hex34e11c0

55448000 has 112 divisors (see below), whose sum is σ = 142646400. Its totient is φ = 21324800.

The previous prime is 55447981. The next prime is 55448039. The reversal of 55448000 is 84455.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231881 + ... + 232119.

Almost surely, 255448000 is an apocalyptic number.

55448000 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 55448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71323200).

55448000 is an abundant number, since it is smaller than the sum of its proper divisors (87198400).

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

55448000 is a wasteful number, since it uses less digits than its factorization.

55448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 55448000 is about 7446.3413835252. The cubic root of 55448000 is about 381.3250143533.

The spelling of 55448000 in words is "fifty-five million, four hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 145 160 200 232 239 250 290 320 400 464 478 500 580 725 800 928 956 1000 1160 1195 1450 1600 1856 1912 2000 2320 2390 2900 3625 3824 4000 4640 4780 5800 5975 6931 7250 7648 8000 9280 9560 11600 11950 13862 14500 15296 19120 23200 23900 27724 29000 29875 34655 38240 46400 47800 55448 58000 59750 69310 76480 95600 110896 116000 119500 138620 173275 191200 221792 232000 239000 277240 346550 382400 443584 478000 554480 693100 866375 956000 1108960 1386200 1732750 1912000 2217920 2772400 3465500 5544800 6931000 11089600 13862000 27724000 55448000