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83944840 = 2357242829
BaseRepresentation
bin1010000000011…
…10010110001000
312211221211200011
411000032112020
5132442213330
612155121304
72036343100
oct500162610
9184854604
1083944840
1143426001
1224143234
1314511b05
14b212200
15758282a
hex500e588

83944840 has 48 divisors (see below), whose sum is σ = 219717900. Its totient is φ = 28780416.

The previous prime is 83944829. The next prime is 83944843. The reversal of 83944840 is 4844938.

83944840 = T323 + T324 + ... + T812.

It can be written as a sum of positive squares in 2 ways, for example, as 83064996 + 879844 = 9114^2 + 938^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 83944793 and 83944802.

It is not an unprimeable number, because it can be changed into a prime (83944843) 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, 19455 + ... + 23374.

Almost surely, 283944840 is an apocalyptic number.

It is an amenable number.

83944840 is an abundant number, since it is smaller than the sum of its proper divisors (135773060).

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

83944840 is a wasteful number, since it uses less digits than its factorization.

83944840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42854 (or 42843 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 83944840 is about 9162.1416710287. The cubic root of 83944840 is about 437.8560301900.

The spelling of 83944840 in words is "eighty-three million, nine hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 42829 85658 171316 214145 299803 342632 428290 599606 856580 1199212 1499015 1713160 2098621 2398424 2998030 4197242 5996060 8394484 10493105 11992120 16788968 20986210 41972420 83944840