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1842103424 = 27716312613
BaseRepresentation
bin110110111001100…
…0100010010000000
311202101020112211202
41231303010102000
512233034302144
6502442400332
763435422630
oct15563042200
94671215752
101842103424
11865901627
12434b000a8
13234842135
141369166c0
15abac364e
hex6dcc4480

1842103424 has 64 divisors (see below), whose sum is σ = 4220139840. Its totient is φ = 784567296.

The previous prime is 1842103387. The next prime is 1842103433. The reversal of 1842103424 is 4243012481.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139742 + ... + 152354.

It is an arithmetic number, because the mean of its divisors is an integer number (65939685).

Almost surely, 21842103424 is an apocalyptic number.

1842103424 is a gapful number since it is divisible by the number (14) 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 1842103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110069920).

1842103424 is an abundant number, since it is smaller than the sum of its proper divisors (2378036416).

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

1842103424 is a wasteful number, since it uses less digits than its factorization.

1842103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12797 (or 12785 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 1842103424 is about 42919.7323384012. The cubic root of 1842103424 is about 1225.8518964505.

The spelling of 1842103424 in words is "one billion, eight hundred forty-two million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 163 224 326 448 652 896 1141 1304 2282 2608 4564 5216 9128 10432 12613 18256 20864 25226 36512 50452 73024 88291 100904 146048 176582 201808 353164 403616 706328 807232 1412656 1614464 2055919 2825312 4111838 5650624 8223676 11301248 14391433 16447352 28782866 32894704 57565732 65789408 115131464 131578816 230262928 263157632 460525856 921051712 1842103424