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133948048 = 2413249537
BaseRepresentation
bin1111111101111…
…10001010010000
3100100001021011211
413332332022100
5233242314143
621142545504
73214353043
oct776761220
9310037154
10133948048
1169679173
1238a38294
132199b800
1413b0ac5a
15bb5d49d
hex7fbe290

133948048 has 30 divisors (see below), whose sum is σ = 281029074. Its totient is φ = 61820928.

The previous prime is 133948007. The next prime is 133948063. The reversal of 133948048 is 840849331.

It can be written as a sum of positive squares in 3 ways, for example, as 36864 + 133911184 = 192^2 + 11572^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133948048.

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, 22065 + ... + 27472.

Almost surely, 2133948048 is an apocalyptic number.

It is an amenable number.

133948048 is an abundant number, since it is smaller than the sum of its proper divisors (147081026).

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

133948048 is a wasteful number, since it uses less digits than its factorization.

133948048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49571 (or 49552 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 133948048 is about 11573.5927006267. The cubic root of 133948048 is about 511.6568542199.

The spelling of 133948048 in words is "one hundred thirty-three million, nine hundred forty-eight thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 49537 99074 198148 396296 643981 792592 1287962 2575924 5151848 8371753 10303696 16743506 33487012 66974024 133948048