Search a number
-
+
4220052276 = 22311297115527
BaseRepresentation
bin1111101110001000…
…1110001100110100
3101220002202212102110
43323202032030310
532120313133101
61534430211020
7206401565256
oct37342161464
911802685373
104220052276
111876122810
12999353a70
135233a9b6b
142c0675cd6
1519a740cd6
hexfb88e334

4220052276 has 96 divisors (see below), whose sum is σ = 11269601280. Its totient is φ = 1217238400.

The previous prime is 4220052271. The next prime is 4220052283. The reversal of 4220052276 is 6722500224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220052271) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 264025 + ... + 279551.

It is an arithmetic number, because the mean of its divisors is an integer number (117391680).

Almost surely, 24220052276 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 4220052276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634800640).

4220052276 is an abundant number, since it is smaller than the sum of its proper divisors (7049549004).

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

4220052276 is a wasteful number, since it uses less digits than its factorization.

4220052276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15645 (or 15643 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 4220052276 is about 64961.9294356318. The cubic root of 4220052276 is about 1615.9922622616.

The spelling of 4220052276 in words is "four billion, two hundred twenty million, fifty-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 71 87 116 132 142 174 213 284 319 348 426 638 781 852 957 1276 1562 1914 2059 2343 3124 3828 4118 4686 6177 8236 9372 12354 15527 22649 24708 31054 45298 46581 62108 67947 90596 93162 135894 170797 186324 271788 341594 450283 512391 683188 900566 1024782 1102417 1350849 1801132 2049564 2204834 2701698 3307251 4409668 4953113 5403396 6614502 9906226 12126587 13229004 14859339 19812452 24253174 29718678 31970093 36379761 48506348 59437356 63940186 72759522 95910279 127880372 145519044 191820558 351671023 383641116 703342046 1055013069 1406684092 2110026138 4220052276