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146425312 = 2511503827
BaseRepresentation
bin10001011101001…
…00010111100000
3101012112011202201
420232210113200
5244441102222
622310222544
73425410645
oct1056442740
9335464681
10146425312
1175720560
1241054a54
1324449ac7
1415637dcc
15ccc5427
hex8ba45e0

146425312 has 48 divisors (see below), whose sum is σ = 315487872. Its totient is φ = 66344320.

The previous prime is 146425271. The next prime is 146425313. The reversal of 146425312 is 213524641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146425313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176643 + ... + 177469.

It is an arithmetic number, because the mean of its divisors is an integer number (6572664).

Almost surely, 2146425312 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 146425312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157743936).

146425312 is an abundant number, since it is smaller than the sum of its proper divisors (169062560).

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

146425312 is a wasteful number, since it uses less digits than its factorization.

146425312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1343 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 146425312 is about 12100.6327107305. The cubic root of 146425312 is about 527.0745573456.

Adding to 146425312 its reverse (213524641), we get a palindrome (359949953).

The spelling of 146425312 in words is "one hundred forty-six million, four hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 503 827 1006 1654 2012 3308 4024 5533 6616 8048 9097 11066 13232 16096 18194 22132 26464 36388 44264 72776 88528 145552 177056 291104 415981 831962 1663924 3327848 4575791 6655696 9151582 13311392 18303164 36606328 73212656 146425312