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146248984 = 23712132153
BaseRepresentation
bin10001011011110…
…01010100011000
3101012012012220001
420231321110120
5244414431414
622302342344
73424044610
oct1055712430
9335165801
10146248984
1175610032
1240b8a9b4
13243b777b
14155cda40
15cc8d074
hex8b79518

146248984 has 32 divisors (see below), whose sum is σ = 313794720. Its totient is φ = 62597376.

The previous prime is 146248981. The next prime is 146249021. The reversal of 146248984 is 489842641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146248981) by changing a digit.

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, 66852 + ... + 69004.

It is an arithmetic number, because the mean of its divisors is an integer number (9806085).

Almost surely, 2146248984 is an apocalyptic number.

146248984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146248984 is an abundant number, since it is smaller than the sum of its proper divisors (167545736).

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

146248984 is a wasteful number, since it uses less digits than its factorization.

146248984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3375 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The square root of 146248984 is about 12093.3446159448. The cubic root of 146248984 is about 526.8629014688.

The spelling of 146248984 in words is "one hundred forty-six million, two hundred forty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 56 1213 2153 2426 4306 4852 8491 8612 9704 15071 16982 17224 30142 33964 60284 67928 120568 2611589 5223178 10446356 18281123 20892712 36562246 73124492 146248984