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55748400 = 2435246457
BaseRepresentation
bin1101010010101…
…0011100110000
310212220022102120
43110222130300
5103232422100
65310514240
71244565531
oct324523460
9125808376
1055748400
1129517664
1216805980
13b71ba26
147592688
154d630a0
hex352a730

55748400 has 60 divisors (see below), whose sum is σ = 178584552. Its totient is φ = 14865920.

The previous prime is 55748393. The next prime is 55748417. The reversal of 55748400 is 484755.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22029 + ... + 24428.

Almost surely, 255748400 is an apocalyptic number.

55748400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55748400 is an abundant number, since it is smaller than the sum of its proper divisors (122836152).

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

55748400 is a wasteful number, since it uses less digits than its factorization.

55748400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46478 (or 46467 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 55748400 is about 7466.4851168405. The cubic root of 55748400 is about 382.0124078826.

The spelling of 55748400 in words is "fifty-five million, seven hundred forty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 46457 92914 139371 185828 232285 278742 371656 464570 557484 696855 743312 929140 1114968 1161425 1393710 1858280 2229936 2322850 2787420 3484275 3716560 4645700 5574840 6968550 9291400 11149680 13937100 18582800 27874200 55748400