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146581968 = 24313234907
BaseRepresentation
bin10001011110010…
…10100111010000
3101012211010122210
420233022213100
5300011110333
622313432120
73426632451
oct1057124720
9335733583
10146581968
1175818225
124110b640
13244a31c0
1415679128
15cd06a63
hex8bca9d0

146581968 has 40 divisors (see below), whose sum is σ = 407800288. Its totient is φ = 45101952.

The previous prime is 146581949. The next prime is 146581991. The reversal of 146581968 is 869185641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116830 + ... + 118077.

Almost surely, 2146581968 is an apocalyptic number.

It is an amenable number.

146581968 is an abundant number, since it is smaller than the sum of its proper divisors (261218320).

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

146581968 is a wasteful number, since it uses less digits than its factorization.

146581968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234931 (or 234925 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 146581968 is about 12107.1040302791. The cubic root of 146581968 is about 527.2624573793.

The spelling of 146581968 in words is "one hundred forty-six million, five hundred eighty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 234907 469814 704721 939628 1409442 1879256 2818884 3053791 3758512 5637768 6107582 9161373 11275536 12215164 18322746 24430328 36645492 48860656 73290984 146581968