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4241304200 = 235275635381
BaseRepresentation
bin1111110011001101…
…0010101010001000
3101221120202120120202
43330303102222020
532141233213300
61540505511332
7210050330240
oct37463225210
911846676522
104241304200
111887118691
129a44a2548
1352790b073
142c3408b20
1519c53cad5
hexfccd2a88

4241304200 has 96 divisors (see below), whose sum is σ = 11291866560. Its totient is φ = 1451308800.

The previous prime is 4241304181. The next prime is 4241304227. The reversal of 4241304200 is 24031424.

4241304200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42413042002 = 35977322633875280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785510 + ... + 790890.

It is an arithmetic number, because the mean of its divisors is an integer number (117623610).

Almost surely, 24241304200 is an apocalyptic number.

4241304200 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 4241304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645933280).

4241304200 is an abundant number, since it is smaller than the sum of its proper divisors (7050562360).

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

4241304200 is a wasteful number, since it uses less digits than its factorization.

4241304200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5967 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4241304200 is about 65125.2961605550. The cubic root of 4241304200 is about 1618.7004005812.

Adding to 4241304200 its reverse (24031424), we get a palindrome (4265335624).

The spelling of 4241304200 in words is "four billion, two hundred forty-one million, three hundred four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 563 700 1126 1400 2252 2815 3941 4504 5381 5630 7882 10762 11260 14075 15764 19705 21524 22520 26905 28150 31528 37667 39410 43048 53810 56300 75334 78820 98525 107620 112600 134525 150668 157640 188335 197050 215240 269050 301336 376670 394100 538100 753340 788200 941675 1076200 1506680 1883350 3029503 3766700 6059006 7533400 12118012 15147515 21206521 24236024 30295030 42413042 60590060 75737575 84826084 106032605 121180120 151475150 169652168 212065210 302950300 424130420 530163025 605900600 848260840 1060326050 2120652100 4241304200