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2955882272 = 257213732
BaseRepresentation
bin1011000000101111…
…0010111100100000
321122000000101012012
42300023302330200
522023201213042
61205150452052
7133151404400
oct26013627440
97560011165
102955882272
111287578112
126a5b04028
13381508685
14200800800
1512477be82
hexb02f2f20

2955882272 has 54 divisors (see below), whose sum is σ = 6774432273. Its totient is φ = 1265884032.

The previous prime is 2955882257. The next prime is 2955882287. The reversal of 2955882272 is 2722885592.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2955882257) and next prime (2955882287).

It can be written as a sum of positive squares in 2 ways, for example, as 1794708496 + 1161173776 = 42364^2 + 34076^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=38444.

It is a self number, because there is not a number n which added to its sum of digits gives 2955882272.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2152178 + ... + 2153550.

Almost surely, 22955882272 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 2955882272

2955882272 is an abundant number, since it is smaller than the sum of its proper divisors (3818550001).

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

2955882272 is an frugal number, since it uses more digits than its factorization.

2955882272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 1382 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 50.

The square root of 2955882272 is about 54368.0261918713. The cubic root of 2955882272 is about 1435.1447642970.

Multiplying 2955882272 by its sum of digits (50), we get a square (147794113600 = 3844402).

The spelling of 2955882272 in words is "two billion, nine hundred fifty-five million, eight hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1373 1568 2746 5492 9611 10984 19222 21968 38444 43936 67277 76888 134554 153776 269108 307552 538216 1076432 1885129 2152864 3770258 7540516 13195903 15081032 26391806 30162064 52783612 60324128 92371321 105567224 184742642 211134448 369485284 422268896 738970568 1477941136 2955882272