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146429679 = 31183193277
BaseRepresentation
bin10001011101001…
…01011011101111
3101012112101202110
420232211123233
5244441222204
622310255103
73425426454
oct1056453357
9335471673
10146429679
1175723870
1241057493
132444baa6
141563982b
15ccc6889
hex8ba56ef

146429679 has 32 divisors (see below), whose sum is σ = 217453824. Its totient is φ = 86906880.

The previous prime is 146429669. The next prime is 146429693. The reversal of 146429679 is 976924641.

It is a happy number.

It is not a de Polignac number, because 146429679 - 212 = 146425583 is a prime.

Its product of digits (653184) is a multiple of the sum of its prime divisors (567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146429669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528489 + ... + 528765.

It is an arithmetic number, because the mean of its divisors is an integer number (6795432).

Almost surely, 2146429679 is an apocalyptic number.

146429679 is a deficient number, since it is larger than the sum of its proper divisors (71024145).

146429679 is a wasteful number, since it uses less digits than its factorization.

146429679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567.

The product of its digits is 653184, while the sum is 48.

The square root of 146429679 is about 12100.8131544950. The cubic root of 146429679 is about 527.0797971312.

The spelling of 146429679 in words is "one hundred forty-six million, four hundred twenty-nine thousand, six hundred seventy-nine".

Divisors: 1 3 11 33 83 193 249 277 579 831 913 2123 2739 3047 6369 9141 16019 22991 48057 53461 68973 160383 176209 252901 528627 588071 758703 1764213 4437263 13311789 48809893 146429679