Search a number
-
+
261448002 = 23289293557
BaseRepresentation
bin11111001010101…
…10000101000010
3200012221221020100
433211112011002
51013412314002
641535423230
76323162034
oct1745260502
9605857210
10261448002
11124642832
1273684b16
134222037a
1426a19c54
1517e4611c
hexf956142

261448002 has 48 divisors (see below), whose sum is σ = 575822520. Its totient is φ = 85721856.

The previous prime is 261448001. The next prime is 261448043. The reversal of 261448002 is 200844162.

261448002 is a `hidden beast` number, since 2 + 614 + 48 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 195692121 + 65755881 = 13989^2 + 8109^2 .

It is not an unprimeable number, because it can be changed into a prime (261448001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469108 + ... + 469664.

Almost surely, 2261448002 is an apocalyptic number.

261448002 is an abundant number, since it is smaller than the sum of its proper divisors (314374518).

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

261448002 is a wasteful number, since it uses less digits than its factorization.

261448002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 261448002 is about 16169.3537904271. The cubic root of 261448002 is about 639.4330933647.

The spelling of 261448002 in words is "two hundred sixty-one million, four hundred forty-eight thousand, two".

Divisors: 1 2 3 6 9 18 89 178 267 293 534 557 586 801 879 1114 1602 1671 1758 2637 3342 5013 5274 10026 26077 49573 52154 78231 99146 148719 156462 163201 234693 297438 326402 446157 469386 489603 892314 979206 1468809 2937618 14524889 29049778 43574667 87149334 130724001 261448002