Search a number
-
+
146246976 = 2632253901
BaseRepresentation
bin10001011011110…
…00110101000000
3101012012010010200
420231320311000
5244414400401
622302325200
73424036011
oct1055706500
9335163120
10146246976
1175609577
1240b89800
13243b6895
14155cd008
15cc8c686
hex8b78d40

146246976 has 42 divisors (see below), whose sum is σ = 419192202. Its totient is φ = 48748800.

The previous prime is 146246963. The next prime is 146246987. The reversal of 146246976 is 679642641.

146246976 is a `hidden beast` number, since 14 + 624 + 6 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 143424576 + 2822400 = 11976^2 + 1680^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126375 + ... + 127526.

Almost surely, 2146246976 is an apocalyptic number.

146246976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146246976 is an abundant number, since it is smaller than the sum of its proper divisors (272945226).

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

146246976 is a wasteful number, since it uses less digits than its factorization.

146246976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253919 (or 253906 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 146246976 is about 12093.2615947891. The cubic root of 146246976 is about 526.8604901801.

The spelling of 146246976 in words is "one hundred forty-six million, two hundred forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 253901 507802 761703 1015604 1523406 2031208 2285109 3046812 4062416 4570218 6093624 8124832 9140436 12187248 16249664 18280872 24374496 36561744 48748992 73123488 146246976