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842080400 = 24527300743
BaseRepresentation
bin110010001100010…
…010000010010000
32011200112010010222
4302030102002100
53211033033100
6215320412212
726603364620
oct6214220220
92150463128
10842080400
113a2372517
121b6017068
131055c7635
147dba0880
154ddda485
hex32312090

842080400 has 60 divisors (see below), whose sum is σ = 2312119872. Its totient is φ = 288712320.

The previous prime is 842080381. The next prime is 842080409. The reversal of 842080400 is 4080248.

It is a self number, because there is not a number n which added to its sum of digits gives 842080400.

It is not an unprimeable number, because it can be changed into a prime (842080409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147572 + ... + 153171.

Almost surely, 2842080400 is an apocalyptic number.

842080400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

842080400 is an abundant number, since it is smaller than the sum of its proper divisors (1470039472).

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

842080400 is a wasteful number, since it uses less digits than its factorization.

842080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300768 (or 300757 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 842080400 is about 29018.6216075126. The cubic root of 842080400 is about 944.3170975803.

The spelling of 842080400 in words is "eight hundred forty-two million, eighty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 300743 601486 1202972 1503715 2105201 2405944 3007430 4210402 4811888 6014860 7518575 8420804 10526005 12029720 15037150 16841608 21052010 24059440 30074300 33683216 42104020 52630025 60148600 84208040 105260050 120297200 168416080 210520100 421040200 842080400