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146052864 = 283263391
BaseRepresentation
bin10001011010010…
…01011100000000
3101011211020212100
420231021130000
5244342142424
622254230400
73422300046
oct1055113400
9334736770
10146052864
1175496751
1240ab5400
1324349419
141557c396
15cc4edc9
hex8b49700

146052864 has 54 divisors (see below), whose sum is σ = 421113056. Its totient is φ = 48683520.

The previous prime is 146052853. The next prime is 146052869. The reversal of 146052864 is 468250641.

146052864 is a `hidden beast` number, since 14 + 60 + 528 + 64 = 666.

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 (146052869) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29392 + ... + 33999.

Almost surely, 2146052864 is an apocalyptic number.

It is an amenable number.

146052864 is an abundant number, since it is smaller than the sum of its proper divisors (275060192).

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

146052864 is an equidigital number, since it uses as much as digits as its factorization.

146052864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63413 (or 63396 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 146052864 is about 12085.2333034989. The cubic root of 146052864 is about 526.6272882662.

The spelling of 146052864 in words is "one hundred forty-six million, fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 63391 126782 190173 253564 380346 507128 570519 760692 1014256 1141038 1521384 2028512 2282076 3042768 4057024 4564152 6085536 8114048 9128304 12171072 16228096 18256608 24342144 36513216 48684288 73026432 146052864