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147088384 = 2103792
BaseRepresentation
bin10001100010001…
…10010000000000
3101020202212022221
420301012100000
5300123312014
622332340424
73434142052
oct1061062000
9336685287
10147088384
1176033753
1241314714
132461c861
141576b8d2
15cda6b24
hex8c46400

147088384 has 33 divisors (see below), whose sum is σ = 294810987. Its totient is φ = 73350144.

The previous prime is 147088351. The next prime is 147088387. The reversal of 147088384 is 483880741.

The square root of 147088384 is 12128.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 147088384.

It is not an unprimeable number, because it can be changed into a prime (147088387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 387907 + ... + 388285.

Almost surely, 2147088384 is an apocalyptic number.

147088384 is the 12128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147088384

147088384 is an abundant number, since it is smaller than the sum of its proper divisors (147722603).

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

147088384 is an frugal number, since it uses more digits than its factorization.

147088384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The cubic root of 147088384 is about 527.8689604411.

The spelling of 147088384 in words is "one hundred forty-seven million, eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 379 512 758 1024 1516 3032 6064 12128 24256 48512 97024 143641 194048 287282 388096 574564 1149128 2298256 4596512 9193024 18386048 36772096 73544192 147088384