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2898144 = 253229347
BaseRepresentation
bin1011000011100011100000
312110020111200
423003203200
51220220034
6142041200
733430254
oct13034340
95406450
102898144
1116aa467
12b79200
137a61a2
14556264
153c3a99
hex2c38e0

2898144 has 72 divisors (see below), whose sum is σ = 8550360. Its totient is φ = 930048.

The previous prime is 2898131. The next prime is 2898151. The reversal of 2898144 is 4418982.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2898099 and 2898108.

It is a congruent number.

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, 8179 + ... + 8525.

It is an arithmetic number, because the mean of its divisors is an integer number (118755).

22898144 is an apocalyptic number.

2898144 is a gapful number since it is divisible by the number (24) 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 2898144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275180).

2898144 is an abundant number, since it is smaller than the sum of its proper divisors (5652216).

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

2898144 is a wasteful number, since it uses less digits than its factorization.

2898144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 381 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2898144 is about 1702.3936090106. The cubic root of 2898144 is about 142.5738859680.

The spelling of 2898144 in words is "two million, eight hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 347 348 464 522 694 696 928 1041 1044 1388 1392 2082 2088 2776 2784 3123 4164 4176 5552 6246 8328 8352 10063 11104 12492 16656 20126 24984 30189 33312 40252 49968 60378 80504 90567 99936 120756 161008 181134 241512 322016 362268 483024 724536 966048 1449072 2898144