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55419000 = 23353721329
BaseRepresentation
bin1101001101101…
…0000001111000
310212021120120120
43103122001320
5103141402000
65255453240
71242024300
oct323320170
9125246516
1055419000
112931212a
1216687220
13b634b10
147508600
154cea6a0
hex34da078

55419000 has 384 divisors, whose sum is σ = 224078400. Its totient is φ = 11289600.

The previous prime is 55418989. The next prime is 55419011. The reversal of 55419000 is 91455.

It is an interprime number because it is at equal distance from previous prime (55418989) and next prime (55419011).

It is a super-2 number, since 2×554190002 = 6142531122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1910986 + ... + 1911014.

Almost surely, 255419000 is an apocalyptic number.

55419000 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 55419000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039200).

55419000 is an abundant number, since it is smaller than the sum of its proper divisors (168659400).

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

55419000 is a wasteful number, since it uses less digits than its factorization.

55419000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 55419000 is about 7444.3938638414. The cubic root of 55419000 is about 381.2585235038.

It can be divided in two parts, 5541 and 9000, that added together give a palindrome (14541).

The spelling of 55419000 in words is "fifty-five million, four hundred nineteen thousand".