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146054772 = 22331352359
BaseRepresentation
bin10001011010010…
…01111001110100
3101011211100111000
420231021321310
5244342223042
622254243300
73422305443
oct1055117164
9334740430
10146054772
1175498126
1240ab6530
132434a256
141557cd5a
15cc5074c
hex8b49e74

146054772 has 24 divisors (see below), whose sum is σ = 378660800. Its totient is φ = 48684888.

The previous prime is 146054749. The next prime is 146054773. The reversal of 146054772 is 277450641.

146054772 is a `hidden beast` number, since 1 + 4 + 605 + 47 + 7 + 2 = 666.

146054772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146054773) 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, 676072 + ... + 676287.

Almost surely, 2146054772 is an apocalyptic number.

146054772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146054772 is an abundant number, since it is smaller than the sum of its proper divisors (232606028).

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

146054772 is a wasteful number, since it uses less digits than its factorization.

146054772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352372 (or 1352364 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 146054772 is about 12085.3122425529. The cubic root of 146054772 is about 526.6295815009.

The spelling of 146054772 in words is "one hundred forty-six million, fifty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1352359 2704718 4057077 5409436 8114154 12171231 16228308 24342462 36513693 48684924 73027386 146054772