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83379400 = 23521332069
BaseRepresentation
bin1001111100001…
…00010011001000
312210220010000221
410332010103020
5132321120100
612135035424
72031466426
oct476042310
9183803027
1083379400
114307a1a5
1223b0bb74
1314374630
14b106116
1574c001a
hex4f844c8

83379400 has 48 divisors (see below), whose sum is σ = 208775700. Its totient is φ = 30785280.

The previous prime is 83379371. The next prime is 83379409. The reversal of 83379400 is 497338.

It can be written as a sum of positive squares in 6 ways, for example, as 28708164 + 54671236 = 5358^2 + 7394^2 .

It is not an unprimeable number, because it can be changed into a prime (83379409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13435 + ... + 18634.

Almost surely, 283379400 is an apocalyptic number.

It is an amenable number.

83379400 is an abundant number, since it is smaller than the sum of its proper divisors (125396300).

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

83379400 is a wasteful number, since it uses less digits than its factorization.

83379400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32098 (or 32089 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 83379400 is about 9131.2321183945. The cubic root of 83379400 is about 436.8707034220.

The spelling of 83379400 in words is "eighty-three million, three hundred seventy-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 32069 64138 128276 160345 256552 320690 416897 641380 801725 833794 1282760 1603450 1667588 2084485 3206900 3335176 4168970 6413800 8337940 10422425 16675880 20844850 41689700 83379400