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4226849568 = 253412772
BaseRepresentation
bin1111101111110000…
…1001101100100000
3101220120120012120000
43323330021230200
532124033141233
61535232020000
7206513425404
oct37374115440
911816505500
104226849568
111879a45707
1299b691600
13524919a26
142c1525104
1519b134d13
hexfbf09b20

4226849568 has 90 divisors (see below), whose sum is σ = 12440789361. Its totient is φ = 1407846528.

The previous prime is 4226849551. The next prime is 4226849591. The reversal of 4226849568 is 8659486224.

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 2 ways, for example, as 4120099344 + 106750224 = 64188^2 + 10332^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=45972.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3309346 + ... + 3310622.

Almost surely, 24226849568 is an apocalyptic number.

4226849568 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 4226849568

4226849568 is an abundant number, since it is smaller than the sum of its proper divisors (8213939793).

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

4226849568 is an frugal number, since it uses more digits than its factorization.

4226849568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 1282 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 4226849568 is about 65014.2258894159. The cubic root of 4226849568 is about 1616.8594299548.

The spelling of 4226849568 in words is "four billion, two hundred twenty-six million, eight hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1277 1296 2554 2592 3831 5108 7662 10216 11493 15324 20432 22986 30648 34479 40864 45972 61296 68958 91944 103437 122592 137916 183888 206874 275832 367776 413748 551664 827496 1103328 1630729 1654992 3261458 3309984 4892187 6522916 9784374 13045832 14676561 19568748 26091664 29353122 39137496 44029683 52183328 58706244 78274992 88059366 117412488 132089049 156549984 176118732 234824976 264178098 352237464 469649952 528356196 704474928 1056712392 1408949856 2113424784 4226849568