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842161248 = 25322924171
BaseRepresentation
bin110010001100100…
…101110001100000
32011200200020001100
4302030211301200
53211043124443
6215322234400
726604152415
oct6214456140
92150606040
10842161248
113a2418235
121b6055a00
13105625386
147dbc210c
154de043d3
hex32325c60

842161248 has 36 divisors (see below), whose sum is σ = 2394896868. Its totient is φ = 280720320.

The previous prime is 842161231. The next prime is 842161253.

842161248 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1461798 + ... + 1462373.

It is an arithmetic number, because the mean of its divisors is an integer number (66524913).

Almost surely, 2842161248 is an apocalyptic number.

It is an amenable number.

842161248 is an abundant number, since it is smaller than the sum of its proper divisors (1552735620).

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

842161248 is a wasteful number, since it uses less digits than its factorization.

842161248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924187 (or 2924176 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 842161248 is about 29020.0146106097. The cubic root of 842161248 is about 944.3473178560.

The spelling of 842161248 in words is "eight hundred forty-two million, one hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2924171 5848342 8772513 11696684 17545026 23393368 26317539 35090052 46786736 52635078 70180104 93573472 105270156 140360208 210540312 280720416 421080624 842161248