Search a number
-
+
4273552224 = 25342636269
BaseRepresentation
bin1111111010111001…
…0011101101100000
3102000211102221120000
43332232103231200
532223012132344
61544021020000
7210621410634
oct37656235540
912024387500
104273552224
1118a3344047
129b3254600
135314bc336
142c7800dc4
151a02aca69
hexfeb93b60

4273552224 has 120 divisors (see below), whose sum is σ = 12618199440. Its totient is φ = 1418874624.

The previous prime is 4273552193. The next prime is 4273552271. The reversal of 4273552224 is 4222553724.

4273552224 is a `hidden beast` number, since 42 + 73 + 5 + 522 + 24 = 666.

It is a super-2 number, since 2×42735522242 = 36526497222510692352, which contains 22 as substring.

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 678562 + ... + 684830.

It is an arithmetic number, because the mean of its divisors is an integer number (105151662).

Almost surely, 24273552224 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 4273552224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309099720).

4273552224 is an abundant number, since it is smaller than the sum of its proper divisors (8344647216).

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

4273552224 is a wasteful number, since it uses less digits than its factorization.

4273552224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6554 (or 6537 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 4273552224 is about 65372.4117958027. The cubic root of 4273552224 is about 1622.7925497028.

The spelling of 4273552224 in words is "four billion, two hundred seventy-three million, five hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 263 288 324 432 526 648 789 864 1052 1296 1578 2104 2367 2592 3156 4208 4734 6269 6312 7101 8416 9468 12538 12624 14202 18807 18936 21303 25076 25248 28404 37614 37872 42606 50152 56421 56808 75228 75744 85212 100304 112842 113616 150456 169263 170424 200608 225684 227232 300912 338526 340848 451368 507789 601824 677052 681696 902736 1015578 1354104 1648747 1805472 2031156 2708208 3297494 4062312 4946241 5416416 6594988 8124624 9892482 13189976 14838723 16249248 19784964 26379952 29677446 39569928 44516169 52759904 59354892 79139856 89032338 118709784 133548507 158279712 178064676 237419568 267097014 356129352 474839136 534194028 712258704 1068388056 1424517408 2136776112 4273552224