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4241204200 = 2352172714603
BaseRepresentation
bin1111110011001011…
…1010001111101000
3101221120120111102001
43330302322033220
532141222013300
61540503420344
7210046432552
oct37462721750
911846514361
104241204200
11188705a542
129a44546b4
135278a46ac
142c33c04d2
1519c51d16a
hexfccba3e8

4241204200 has 96 divisors (see below), whose sum is σ = 10481650560. Its totient is φ = 1590451200.

The previous prime is 4241204179. The next prime is 4241204207. The reversal of 4241204200 is 24021424.

It is not an unprimeable number, because it can be changed into a prime (4241204207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 919099 + ... + 923701.

It is an arithmetic number, because the mean of its divisors is an integer number (109183860).

Almost surely, 24241204200 is an apocalyptic number.

4241204200 is a gapful number since it is divisible by the number (40) 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 4241204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5240825280).

4241204200 is an abundant number, since it is smaller than the sum of its proper divisors (6240446360).

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

4241204200 is a wasteful number, since it uses less digits than its factorization.

4241204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4907 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 4241204200 is about 65124.5284052023. The cubic root of 4241204200 is about 1618.6876787623.

Adding to 4241204200 its reverse (24021424), we get a palindrome (4265225624).

The spelling of 4241204200 in words is "four billion, two hundred forty-one million, two hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 271 340 425 542 680 850 1084 1355 1700 2168 2710 3400 4603 4607 5420 6775 9206 9214 10840 13550 18412 18428 23015 23035 27100 36824 36856 46030 46070 54200 78251 92060 92140 115075 115175 156502 184120 184280 230150 230350 313004 391255 460300 460700 626008 782510 920600 921400 1247413 1565020 1956275 2494826 3130040 3912550 4989652 6237065 7825100 9979304 12474130 15650200 21206021 24948260 31185325 42412042 49896520 62370650 84824084 106030105 124741300 169648168 212060210 249482600 424120420 530150525 848240840 1060301050 2120602100 4241204200