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83430042 = 23293712959
BaseRepresentation
bin1001111100100…
…00101010011010
312210222200111120
410332100222122
5132324230132
612140110110
72032100163
oct476205232
9183880446
1083430042
1143104253
1223b35336
13143916b7
14b11a76a
1574d002c
hex4f90a9a

83430042 has 32 divisors (see below), whose sum is σ = 177292800. Its totient is φ = 26123328.

The previous prime is 83430031. The next prime is 83430043. The reversal of 83430042 is 24003438.

It is a junction number, because it is equal to n+sod(n) for n = 83429994 and 83430021.

It is not an unprimeable number, because it can be changed into a prime (83430043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42 + ... + 12917.

It is an arithmetic number, because the mean of its divisors is an integer number (5540400).

Almost surely, 283430042 is an apocalyptic number.

83430042 is an abundant number, since it is smaller than the sum of its proper divisors (93862758).

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

83430042 is a wasteful number, since it uses less digits than its factorization.

83430042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13030.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 83430042 is about 9134.0047076844. The cubic root of 83430042 is about 436.9591326524.

It can be divided in two parts, 834 and 30042, that added together give a triangular number (30876 = T248).

The spelling of 83430042 in words is "eighty-three million, four hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 29 37 58 74 87 111 174 222 1073 2146 3219 6438 12959 25918 38877 77754 375811 479483 751622 958966 1127433 1438449 2254866 2876898 13905007 27810014 41715021 83430042