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55419600 = 2435246183
BaseRepresentation
bin1101001101101…
…0001011010000
310212021121101210
43103122023100
5103141411400
65255500120
71242026115
oct323321320
9125247353
1055419600
1129312625
1216687640
13b635182
14750890c
154cea950
hex34da2d0

55419600 has 60 divisors (see below), whose sum is σ = 177531296. Its totient is φ = 14778240.

The previous prime is 55419593. The next prime is 55419601. The reversal of 55419600 is 691455.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55419601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21892 + ... + 24291.

Almost surely, 255419600 is an apocalyptic number.

55419600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55419600 is an abundant number, since it is smaller than the sum of its proper divisors (122111696).

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

55419600 is a wasteful number, since it uses less digits than its factorization.

55419600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46204 (or 46193 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 55419600 is about 7444.4341625136. The cubic root of 55419600 is about 381.2598994115.

The spelling of 55419600 in words is "fifty-five million, four hundred nineteen thousand, six 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 46183 92366 138549 184732 230915 277098 369464 461830 554196 692745 738928 923660 1108392 1154575 1385490 1847320 2216784 2309150 2770980 3463725 3694640 4618300 5541960 6927450 9236600 11083920 13854900 18473200 27709800 55419600