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146379696 = 2433782421
BaseRepresentation
bin10001011100110…
…01001110110000
3101012102212012020
420232121032300
5244433122241
622305231440
73425130651
oct1056311660
9335385166
10146379696
117569a261
1241032580
1324432108
1415625528
15ccb6b66
hex8b993b0

146379696 has 40 divisors (see below), whose sum is σ = 388372464. Its totient is φ = 47473920.

The previous prime is 146379691. The next prime is 146379703. The reversal of 146379696 is 696973641.

146379696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (146379691) 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 7 ways as a sum of consecutive naturals, for example, 39435 + ... + 42986.

Almost surely, 2146379696 is an apocalyptic number.

146379696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146379696 is an abundant number, since it is smaller than the sum of its proper divisors (241992768).

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

146379696 is a wasteful number, since it uses less digits than its factorization.

146379696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82469 (or 82463 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 146379696 is about 12098.7477037915. The cubic root of 146379696 is about 527.0198183349.

The spelling of 146379696 in words is "one hundred forty-six million, three hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 82421 164842 247263 329684 494526 659368 989052 1318736 1978104 3049577 3956208 6099154 9148731 12198308 18297462 24396616 36594924 48793232 73189848 146379696