Search a number
-
+
4272010956 = 22354322377
BaseRepresentation
bin1111111010100001…
…1011011011001100
3102000201112122100000
43332220123123030
532222113322311
61543524004300
7210602331303
oct37650333314
912021478300
104272010956
1118a2491074
129b2830690
1353109c945
142c751d43a
151a00a6056
hexfea1b6cc

4272010956 has 108 divisors (see below), whose sum is σ = 11469959592. Its totient is φ = 1390302144.

The previous prime is 4272010933. The next prime is 4272010979. The reversal of 4272010956 is 6590102724.

It is an interprime number because it is at equal distance from previous prime (4272010933) and next prime (4272010979).

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4272010956.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1796040 + ... + 1798416.

Almost surely, 24272010956 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 4272010956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734979796).

4272010956 is an abundant number, since it is smaller than the sum of its proper divisors (7197948636).

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

4272010956 is a wasteful number, since it uses less digits than its factorization.

4272010956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4272010956 is about 65360.6223654579. The cubic root of 4272010956 is about 1622.5974380923.

The spelling of 4272010956 in words is "four billion, two hundred seventy-two million, ten thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 243 258 324 387 486 516 774 972 1161 1548 1849 2322 2377 3483 3698 4644 4754 5547 6966 7131 7396 9508 10449 11094 13932 14262 16641 20898 21393 22188 28524 33282 41796 42786 49923 64179 66564 85572 99846 102211 128358 149769 192537 199692 204422 256716 299538 306633 385074 408844 449307 577611 599076 613266 770148 898614 919899 1155222 1226532 1797228 1839798 2310444 2759697 3679596 4395073 5519394 8279091 8790146 11038788 13185219 16558182 17580292 24837273 26370438 33116364 39555657 49674546 52740876 79111314 99349092 118666971 158222628 237333942 356000913 474667884 712001826 1068002739 1424003652 2136005478 4272010956