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4597254272 = 271324612
BaseRepresentation
bin1000100100000010…
…01000100010000000
3102212101112201021202
410102001020202000
533403344114042
62040103040332
7221632005452
oct42201104200
912771481252
104597254272
111a4a0371a6
12a837400a8
13583598600
143187c42d2
151bd8ee632
hex112048880

4597254272 has 72 divisors (see below), whose sum is σ = 9938851695. Its totient is φ = 2117207040.

The previous prime is 4597254253. The next prime is 4597254289. The reversal of 4597254272 is 2724527954.

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 can be written as a sum of positive squares in 5 ways, for example, as 202094656 + 4395159616 = 14216^2 + 66296^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=47944.

It is a super-2 number, since 2×45972542722 = 42269493682844499968, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9972122 + ... + 9972582.

Almost surely, 24597254272 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 4597254272

4597254272 is an abundant number, since it is smaller than the sum of its proper divisors (5341597423).

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

4597254272 is an frugal number, since it uses more digits than its factorization.

4597254272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 476 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 47.

The square root of 4597254272 is about 67803.0550344157. The cubic root of 4597254272 is about 1662.7725322677.

The spelling of 4597254272 in words is "four billion, five hundred ninety-seven million, two hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 461 676 832 922 1352 1664 1844 2704 3688 5408 5993 7376 10816 11986 14752 21632 23972 29504 47944 59008 77909 95888 155818 191776 212521 311636 383552 425042 623272 767104 850084 1246544 1700168 2493088 2762773 3400336 4986176 5525546 6800672 9972352 11051092 13601344 22102184 27202688 35916049 44204368 71832098 88408736 143664196 176817472 287328392 353634944 574656784 1149313568 2298627136 4597254272