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4251037952 = 28717472969
BaseRepresentation
bin1111110101100001…
…1011000100000000
3101222021002002210002
43331120123010000
532201231203302
61541454255132
7210226140440
oct37530330400
911867062702
104251037952
111891666807
129a77b74a8
13529938695
142c4820120
1519d311c02
hexfd61b100

4251037952 has 144 divisors (see below), whose sum is σ = 10490135040. Its totient is φ = 1677656064.

The previous prime is 4251037949. The next prime is 4251037957. The reversal of 4251037952 is 2597301524.

It is not an unprimeable number, because it can be changed into a prime (4251037957) 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, 1430324 + ... + 1433292.

It is an arithmetic number, because the mean of its divisors is an integer number (72848160).

Almost surely, 24251037952 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 4251037952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245067520).

4251037952 is an abundant number, since it is smaller than the sum of its proper divisors (6239097088).

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

4251037952 is a wasteful number, since it uses less digits than its factorization.

4251037952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 4251037952 is about 65199.9842944766. The cubic root of 4251037952 is about 1619.9377550641.

The spelling of 4251037952 in words is "four billion, two hundred fifty-one million, thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 47 56 64 68 94 112 119 128 136 188 224 238 256 272 329 376 448 476 544 658 752 799 896 952 1088 1316 1504 1598 1792 1904 2176 2632 2969 3008 3196 3808 4352 5264 5593 5938 6016 6392 7616 10528 11186 11876 12032 12784 15232 20783 21056 22372 23752 25568 30464 41566 42112 44744 47504 50473 51136 83132 84224 89488 95008 100946 102272 139543 166264 178976 190016 201892 204544 279086 332528 353311 357952 380032 403784 558172 665056 706622 715904 760064 807568 976801 1116344 1330112 1413244 1431808 1615136 1953602 2232688 2372231 2660224 2826488 3230272 3907204 4465376 4744462 5320448 5652976 6460544 7814408 8930752 9488924 11305952 12921088 15628816 16605617 17861504 18977848 22611904 31257632 33211234 35723008 37955696 45223808 62515264 66422468 75911392 90447616 125030528 132844936 151822784 250061056 265689872 303645568 531379744 607291136 1062759488 2125518976 4251037952