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842052416 = 261372701
BaseRepresentation
bin110010001100001…
…011001101000000
32011200110200202112
4302030023031000
53211031134131
6215320034452
726603220212
oct6214131500
92150420675
10842052416
113a2353497
121b6002a28
131055b798a
147db945b2
154ddd202b
hex3230b340

842052416 has 42 divisors (see below), whose sum is σ = 1685634678. Its totient is φ = 417356800.

The previous prime is 842052397. The next prime is 842052433. The reversal of 842052416 is 614250248.

It can be written as a sum of positive squares in 3 ways, for example, as 335622400 + 506430016 = 18320^2 + 22504^2 .

It is a super-3 number, since 3×8420524163 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1200866 + ... + 1201566.

It is an arithmetic number, because the mean of its divisors is an integer number (40134159).

Almost surely, 2842052416 is an apocalyptic number.

It is an amenable number.

842052416 is an abundant number, since it is smaller than the sum of its proper divisors (843582262).

842052416 is an equidigital number, since it uses as much as digits as its factorization.

842052416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 842052416 is about 29018.1394303632. The cubic root of 842052416 is about 944.3066369551.

The spelling of 842052416 in words is "eight hundred forty-two million, fifty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 137 274 548 701 1096 1402 2192 2804 4384 5608 8768 11216 18769 22432 37538 44864 75076 96037 150152 192074 300304 384148 600608 768296 1201216 1536592 3073184 6146368 13157069 26314138 52628276 105256552 210513104 421026208 842052416