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146429004 = 223291912203
BaseRepresentation
bin10001011101001…
…01010001001100
3101012112100211110
420232211101030
5244441212004
622310252020
73425424501
oct1056452114
9335470743
10146429004
1175723307
1241057010
132444b6a7
14156394a8
15ccc6589
hex8ba544c

146429004 has 48 divisors (see below), whose sum is σ = 355461120. Its totient is φ = 46858560.

The previous prime is 146428993. The next prime is 146429009. The reversal of 146429004 is 400924641.

It is not an unprimeable number, because it can be changed into a prime (146429009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65367 + ... + 67569.

It is an arithmetic number, because the mean of its divisors is an integer number (7405440).

Almost surely, 2146429004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146429004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177730560).

146429004 is an abundant number, since it is smaller than the sum of its proper divisors (209032116).

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

146429004 is a wasteful number, since it uses less digits than its factorization.

146429004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 146429004 is about 12100.7852637752. The cubic root of 146429004 is about 527.0789872330.

The spelling of 146429004 in words is "one hundred forty-six million, four hundred twenty-nine thousand, four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 191 348 382 573 764 1146 2203 2292 4406 5539 6609 8812 11078 13218 16617 22156 26436 33234 63887 66468 127774 191661 255548 383322 420773 766644 841546 1262319 1683092 2524638 5049276 12202417 24404834 36607251 48809668 73214502 146429004