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2656330272 = 253230372
BaseRepresentation
bin1001111001010100…
…0110001000100000
320212010100120002200
42132111012020200
520420010032042
61115330213200
7122553302061
oct23625061040
96763316080
102656330272
11114347a282
12621724200
1333443677b
141b2b06568
1510830ac4c
hex9e546220

2656330272 has 54 divisors (see below), whose sum is σ = 7556427333. Its totient is φ = 885151872.

The previous prime is 2656330253. The next prime is 2656330279. The reversal of 2656330272 is 2720336562.

It is a happy number.

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.

2656330272 is a `hidden beast` number, since 2 + 6 + 56 + 330 + 272 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2284457616 + 371872656 = 47796^2 + 19284^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=36444.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2656330279) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 873138 + ... + 876174.

Almost surely, 22656330272 is an apocalyptic number.

It is an amenable number.

2656330272 is an abundant number, since it is smaller than the sum of its proper divisors (4900097061).

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

2656330272 is an frugal number, since it uses more digits than its factorization.

2656330272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6090 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 2656330272 is about 51539.5990671251. The cubic root of 2656330272 is about 1384.9285147759.

The spelling of 2656330272 in words is "two billion, six hundred fifty-six million, three hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3037 6074 9111 12148 18222 24296 27333 36444 48592 54666 72888 97184 109332 145776 218664 291552 437328 874656 9223369 18446738 27670107 36893476 55340214 73786952 83010321 110680428 147573904 166020642 221360856 295147808 332041284 442721712 664082568 885443424 1328165136 2656330272