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146738772 = 22324076077
BaseRepresentation
bin10001011111100…
…00111001010100
3101020010002202100
420233300321110
5300031120042
622321042100
73431154555
oct1057607124
9336102670
10146738772
1175915014
1241186330
132452969b
14156ba32c
15cd3824c
hex8bf0e54

146738772 has 18 divisors (see below), whose sum is σ = 370923098. Its totient is φ = 48912912.

The previous prime is 146738741. The next prime is 146738783. The reversal of 146738772 is 277837641.

146738772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 146023056 + 715716 = 12084^2 + 846^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2038003 + ... + 2038074.

Almost surely, 2146738772 is an apocalyptic number.

146738772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146738772 is an abundant number, since it is smaller than the sum of its proper divisors (224184326).

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

146738772 is a wasteful number, since it uses less digits than its factorization.

146738772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076087 (or 4076082 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 146738772 is about 12113.5780015650. The cubic root of 146738772 is about 527.4504009129.

The spelling of 146738772 in words is "one hundred forty-six million, seven hundred thirty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 4076077 8152154 12228231 16304308 24456462 36684693 48912924 73369386 146738772