Search a number
-
+
146763648 = 2732127399
BaseRepresentation
bin10001011111101…
…10111110000000
3101020011100212200
420233312332000
5300032414043
622321353200
73431320233
oct1057667600
9336140780
10146763648
1175931779
1241198800
1324537ac5
14156c541a
15cd407d3
hex8bf6f80

146763648 has 48 divisors (see below), whose sum is σ = 422331000. Its totient is φ = 48920832.

The previous prime is 146763647. The next prime is 146763649. The reversal of 146763648 is 846367641.

It is a happy number.

146763648 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 636 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (146763647) and next prime (146763649).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146763647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62548 + ... + 64851.

Almost surely, 2146763648 is an apocalyptic number.

146763648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146763648 is an abundant number, since it is smaller than the sum of its proper divisors (275567352).

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

146763648 is a wasteful number, since it uses less digits than its factorization.

146763648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127419 (or 127404 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 146763648 is about 12114.6047397346. The cubic root of 146763648 is about 527.4802047033.

The spelling of 146763648 in words is "one hundred forty-six million, seven hundred sixty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 127399 254798 382197 509596 764394 1019192 1146591 1528788 2038384 2293182 3057576 4076768 4586364 6115152 8153536 9172728 12230304 16307072 18345456 24460608 36690912 48921216 73381824 146763648