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132742948 = 22139726317
BaseRepresentation
bin1111110100101…
…11111100100100
3100020210001002111
413322113330210
5232440233243
621101050404
73201203452
oct772277444
9306701074
10132742948
1168a25818
1238556a04
1321669130
14138b59d2
15b9c139d
hex7e97f24

132742948 has 24 divisors (see below), whose sum is σ = 252758072. Its totient is φ = 60632064.

The previous prime is 132742943. The next prime is 132742957. The reversal of 132742948 is 849247231.

It can be written as a sum of positive squares in 4 ways, for example, as 7795264 + 124947684 = 2792^2 + 11178^2 .

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 132742948.

It is not an unprimeable number, because it can be changed into a prime (132742943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8115 + ... + 18202.

Almost surely, 2132742948 is an apocalyptic number.

It is an amenable number.

132742948 is a deficient number, since it is larger than the sum of its proper divisors (120015124).

132742948 is a wasteful number, since it uses less digits than its factorization.

132742948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26431 (or 26429 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 132742948 is about 11521.4125870051. The cubic root of 132742948 is about 510.1178095135.

The spelling of 132742948 in words is "one hundred thirty-two million, seven hundred forty-two thousand, nine hundred forty-eight".

Divisors: 1 2 4 13 26 52 97 194 388 1261 2522 5044 26317 52634 105268 342121 684242 1368484 2552749 5105498 10210996 33185737 66371474 132742948