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4345727488 = 29295412
BaseRepresentation
bin1000000110000011…
…01000101000000000
3102012212020211101221
410003001220220000
532400001234423
61555120004424
7212456034304
oct40301505000
912185224357
104345727488
111930060423
12a13460714
1354343ccab
142d322bd04
151a67b7e5d
hex103068a00

4345727488 has 60 divisors (see below), whose sum is σ = 8999013870. Its totient is φ = 2094059520.

The previous prime is 4345727437. The next prime is 4345727509. The reversal of 4345727488 is 8847275434.

It can be written as a sum of positive squares in 3 ways, for example, as 3404955904 + 940771584 = 58352^2 + 30672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8032498 + ... + 8033038.

Almost surely, 24345727488 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 4345727488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499506935).

4345727488 is an abundant number, since it is smaller than the sum of its proper divisors (4653286382).

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

4345727488 is an frugal number, since it uses more digits than its factorization.

4345727488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 572 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 52.

The square root of 4345727488 is about 65922.1320043580. The cubic root of 4345727488 is about 1631.8772815580.

The spelling of 4345727488 in words is "four billion, three hundred forty-five million, seven hundred twenty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 541 928 1082 1856 2164 3712 4328 7424 8656 14848 15689 17312 31378 34624 62756 69248 125512 138496 251024 276992 292681 502048 585362 1004096 1170724 2008192 2341448 4016384 4682896 8032768 8487749 9365792 16975498 18731584 33950996 37463168 67901992 74926336 135803984 149852672 271607968 543215936 1086431872 2172863744 4345727488