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146792893 = 1322293793
BaseRepresentation
bin10001011111111…
…10000110111101
3101020012211222211
420233332012331
5300034333033
622322140421
73431501422
oct1057760675
9336184884
10146792893
1175951745
12411b1711
1324548200
14156d1d49
15cd492cd
hex8bfe1bd

146792893 has 12 divisors (see below), whose sum is σ = 159689460. Its totient is φ = 134873856.

The previous prime is 146792869. The next prime is 146792929. The reversal of 146792893 is 398297641.

It can be written as a sum of positive squares in 6 ways, for example, as 13089924 + 133702969 = 3618^2 + 11563^2 .

It is not a de Polignac number, because 146792893 - 221 = 144695741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146792813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36805 + ... + 40597.

It is an arithmetic number, because the mean of its divisors is an integer number (13307455).

Almost surely, 2146792893 is an apocalyptic number.

146792893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

146792893 is a deficient number, since it is larger than the sum of its proper divisors (12896567).

146792893 is a wasteful number, since it uses less digits than its factorization.

146792893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4035 counting only the distinct ones).

The product of its digits is 653184, while the sum is 49.

The square root of 146792893 is about 12115.8116938156. The cubic root of 146792893 is about 527.5152386604.

The spelling of 146792893 in words is "one hundred forty-six million, seven hundred ninety-two thousand, eight hundred ninety-three".

Divisors: 1 13 169 229 2977 3793 38701 49309 641017 868597 11291761 146792893