Search a number
-
+
1255481152 = 26312137149
BaseRepresentation
bin100101011010101…
…0001111101000000
310020111102001100221
41022311101331000
510032400344102
6324325152424
743053261622
oct11265217500
93214361327
101255481152
11594760632
122b055b714
1317014b673
14bca52c12
1575349637
hex4ad51f40

1255481152 has 84 divisors (see below), whose sum is σ = 2610497700. Its totient is φ = 599009280.

The previous prime is 1255481099. The next prime is 1255481153. The reversal of 1255481152 is 2511845521.

It can be written as a sum of positive squares in 2 ways, for example, as 413552896 + 841928256 = 20336^2 + 29016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255481153) 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, 8425974 + ... + 8426122.

Almost surely, 21255481152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255481152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305248850).

1255481152 is an abundant number, since it is smaller than the sum of its proper divisors (1355016548).

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

1255481152 is a wasteful number, since it uses less digits than its factorization.

1255481152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 319 counting only the distinct ones).

The product of its digits is 16000, while the sum is 34.

The square root of 1255481152 is about 35432.7694655668. The cubic root of 1255481152 is about 1078.7895537809.

The spelling of 1255481152 in words is "one billion, two hundred fifty-five million, four hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 137 149 248 274 298 496 548 596 961 992 1096 1192 1922 1984 2192 2384 3844 4247 4384 4619 4768 7688 8494 8768 9238 9536 15376 16988 18476 20413 30752 33976 36952 40826 61504 67952 73904 81652 131657 135904 143189 147808 163304 263314 271808 286378 295616 326608 526628 572756 632803 653216 1053256 1145512 1265606 1306432 2106512 2291024 2531212 4213024 4582048 5062424 8426048 9164096 10124848 19616893 20249696 39233786 40499392 78467572 156935144 313870288 627740576 1255481152