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4297427328 = 27331477681
BaseRepresentation
bin1000000000010010…
…11000100110000000
3102002111100221001010
410000021120212000
532300120133303
61550232440520
7211331346435
oct40011304600
912074327033
104297427328
111905870837
129bb249140
1353642b50c
142caa57b8c
151a2426c03
hex100258980

4297427328 has 128 divisors (see below), whose sum is σ = 12035543040. Its totient is φ = 1356595200.

The previous prime is 4297427327. The next prime is 4297427363. The reversal of 4297427328 is 8237247924.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4297427327) 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, 555648 + ... + 563328.

It is an arithmetic number, because the mean of its divisors is an integer number (94027680).

Almost surely, 24297427328 is an apocalyptic number.

4297427328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4297427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6017771520).

4297427328 is an abundant number, since it is smaller than the sum of its proper divisors (7738115712).

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

4297427328 is a wasteful number, since it uses less digits than its factorization.

4297427328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7776 (or 7764 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 4297427328 is about 65554.7658679367. The cubic root of 4297427328 is about 1625.8089640595.

The spelling of 4297427328 in words is "four billion, two hundred ninety-seven million, four hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 64 93 94 96 124 128 141 186 188 192 248 282 372 376 384 496 564 744 752 992 1128 1457 1488 1504 1984 2256 2914 2976 3008 3968 4371 4512 5828 5952 6016 7681 8742 9024 11656 11904 15362 17484 18048 23043 23312 30724 34968 46086 46624 61448 69936 92172 93248 122896 139872 184344 186496 238111 245792 279744 361007 368688 476222 491584 559488 714333 722014 737376 952444 983168 1083021 1428666 1444028 1474752 1904888 2166042 2857332 2888056 2949504 3809776 4332084 5714664 5776112 7619552 8664168 11191217 11429328 11552224 15239104 17328336 22382434 22858656 23104448 30478208 33573651 34656672 44764868 45717312 46208896 67147302 69313344 89529736 91434624 134294604 138626688 179059472 268589208 358118944 537178416 716237888 1074356832 1432475776 2148713664 4297427328