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146382464 = 274127893
BaseRepresentation
bin10001011100110…
…01111010000000
3101012102222222202
420232121322000
5244433214324
622305252332
73425142014
oct1056317200
9335388882
10146382464
11756a1348
12410340a8
1324433457
1415626544
15ccb78ae
hex8b99e80

146382464 has 32 divisors (see below), whose sum is σ = 298744740. Its totient is φ = 71403520.

The previous prime is 146382463. The next prime is 146382469. The reversal of 146382464 is 464283641.

It can be written as a sum of positive squares in 2 ways, for example, as 144961600 + 1420864 = 12040^2 + 1192^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1463824642 = 42855651533422592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146382463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8699 + ... + 19194.

Almost surely, 2146382464 is an apocalyptic number.

It is an amenable number.

146382464 is an abundant number, since it is smaller than the sum of its proper divisors (152362276).

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

146382464 is an equidigital number, since it uses as much as digits as its factorization.

146382464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27948 (or 27936 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 146382464 is about 12098.8620952551. The cubic root of 146382464 is about 527.0231402475.

The spelling of 146382464 in words is "one hundred forty-six million, three hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 27893 55786 111572 223144 446288 892576 1143613 1785152 2287226 3570304 4574452 9148904 18297808 36595616 73191232 146382464