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84742920 = 23325235397
BaseRepresentation
bin1010000110100…
…01001100001000
312220110101102200
411003101030020
5133143233140
612224200200
72046205623
oct503211410
9186411380
1084742920
1143920679
1224469060
1314731152
14b37cdba
15768e030
hex50d1308

84742920 has 48 divisors (see below), whose sum is σ = 275415660. Its totient is φ = 22598016.

The previous prime is 84742891. The next prime is 84742937. The reversal of 84742920 is 2924748.

It can be written as a sum of positive squares in 2 ways, for example, as 84162276 + 580644 = 9174^2 + 762^2 .

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

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, 117339 + ... + 118058.

Almost surely, 284742920 is an apocalyptic number.

It is an amenable number.

84742920 is an abundant number, since it is smaller than the sum of its proper divisors (190672740).

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

84742920 is a wasteful number, since it uses less digits than its factorization.

84742920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235414 (or 235407 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 84742920 is about 9205.5917789135. The cubic root of 84742920 is about 439.2392501775.

The spelling of 84742920 in words is "eighty-four million, seven hundred forty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 235397 470794 706191 941588 1176985 1412382 1883176 2118573 2353970 2824764 3530955 4237146 4707940 5649528 7061910 8474292 9415880 10592865 14123820 16948584 21185730 28247640 42371460 84742920