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4242432300 = 22352107149887
BaseRepresentation
bin1111110011011110…
…0110000100101100
3101221122212220001020
43330313212010230
532142030313200
61540550014140
7210063036201
oct37467460454
911848786036
104242432300
1118878191a7
129a4947350
13527c14692
142c361dca8
1519c6b1ea0
hexfcde612c

4242432300 has 144 divisors (see below), whose sum is σ = 12486700800. Its totient is φ = 1111965440.

The previous prime is 4242432269. The next prime is 4242432307. The reversal of 4242432300 is 32342424.

It is not an unprimeable number, because it can be changed into a prime (4242432307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4782457 + ... + 4783343.

It is an arithmetic number, because the mean of its divisors is an integer number (86713200).

Almost surely, 24242432300 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 4242432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6243350400).

4242432300 is an abundant number, since it is smaller than the sum of its proper divisors (8244268500).

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

4242432300 is a wasteful number, since it uses less digits than its factorization.

4242432300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4242432300 is about 65133.9565818015. The cubic root of 4242432300 is about 1618.8439015707.

Adding to 4242432300 its reverse (32342424), we get a palindrome (4274774724).

The spelling of 4242432300 in words is "four billion, two hundred forty-two million, four hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 149 150 214 298 300 321 428 447 535 596 642 745 887 894 1070 1284 1490 1605 1774 1788 2140 2235 2661 2675 2980 3210 3548 3725 4435 4470 5322 5350 6420 7450 8025 8870 8940 10644 10700 11175 13305 14900 15943 16050 17740 22175 22350 26610 31886 32100 44350 44700 47829 53220 63772 66525 79715 88700 94909 95658 132163 133050 159430 189818 191316 239145 264326 266100 284727 318860 379636 396489 398575 474545 478290 528652 569454 660815 792978 797150 949090 956580 1138908 1195725 1321630 1423635 1585956 1594300 1898180 1982445 2372725 2391450 2643260 2847270 3304075 3964890 4745450 4782900 5694540 6608150 7118175 7929780 9490900 9912225 13216300 14141441 14236350 19824450 28282882 28472700 39648900 42424323 56565764 70707205 84848646 141414410 169697292 212121615 282828820 353536025 424243230 707072050 848486460 1060608075 1414144100 2121216150 4242432300