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83904840 = 23325233069
BaseRepresentation
bin1010000000001…
…00100101001000
312211212210210200
411000010211020
5132434423330
612154212200
72036115345
oct500044510
9184783720
1083904840
11433a8a48
1224124060
13144c9846
14b2017cc
157575a60
hex5004948

83904840 has 48 divisors (see below), whose sum is σ = 272691900. Its totient is φ = 22374528.

The previous prime is 83904833. The next prime is 83904869. The reversal of 83904840 is 4840938.

It can be written as a sum of positive squares in 2 ways, for example, as 79816356 + 4088484 = 8934^2 + 2022^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 83904795 and 83904804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116175 + ... + 116894.

Almost surely, 283904840 is an apocalyptic number.

It is an amenable number.

83904840 is an abundant number, since it is smaller than the sum of its proper divisors (188787060).

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

83904840 is a wasteful number, since it uses less digits than its factorization.

83904840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233086 (or 233079 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83904840 is about 9159.9585151899. The cubic root of 83904840 is about 437.7864725145.

The spelling of 83904840 in words is "eighty-three million, nine hundred four thousand, eight hundred forty".

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 233069 466138 699207 932276 1165345 1398414 1864552 2097621 2330690 2796828 3496035 4195242 4661380 5593656 6992070 8390484 9322760 10488105 13984140 16780968 20976210 27968280 41952420 83904840