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1427049568 = 257193311013
BaseRepresentation
bin101010100001111…
…0000110001100000
310200110020121222201
41111003300301200
510410311041233
6353334342544
750235502240
oct12503606140
93613217881
101427049568
1167259450a
12339abaa54
1319985c839
14d7753b20
158543977d
hex550f0c60

1427049568 has 96 divisors (see below), whose sum is σ = 3393411840. Its totient is φ = 577082880.

The previous prime is 1427049563. The next prime is 1427049577. The reversal of 1427049568 is 8659407241.

It is a super-4 number, since 4×14270495684 (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427049563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1408230 + ... + 1409242.

It is an arithmetic number, because the mean of its divisors is an integer number (35348040).

Almost surely, 21427049568 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 1427049568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696705920).

1427049568 is an abundant number, since it is smaller than the sum of its proper divisors (1966362272).

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

1427049568 is a wasteful number, since it uses less digits than its factorization.

1427049568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 1427049568 is about 37776.3096133013. The cubic root of 1427049568 is about 1125.8478068201.

The spelling of 1427049568 in words is "one billion, four hundred twenty-seven million, forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 331 532 608 662 1013 1064 1324 2026 2128 2317 2648 4052 4256 4634 5296 6289 7091 8104 9268 10592 12578 14182 16208 18536 19247 25156 28364 32416 37072 38494 44023 50312 56728 74144 76988 88046 100624 113456 134729 153976 176092 201248 226912 269458 307952 335303 352184 538916 615904 670606 704368 1077832 1341212 1408736 2155664 2347121 2682424 4311328 4694242 5364848 6370757 9388484 10729696 12741514 18776968 25483028 37553936 44595299 50966056 75107872 89190598 101932112 178381196 203864224 356762392 713524784 1427049568