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2420433456 = 243735320407
BaseRepresentation
bin1001000001000100…
…1110001000110000
320020200110202111120
42100101032020300
514424112332311
61040102142240
7113660226210
oct22021161060
96220422446
102420433456
1110322a9531
12576721980
132c75c145c
1418d65c240
15e2760706
hex9044e230

2420433456 has 80 divisors (see below), whose sum is σ = 7166636544. Its totient is φ = 689559552.

The previous prime is 2420433397. The next prime is 2420433461. The reversal of 2420433456 is 6543340242.

It is a super-2 number, since 2×24204334562 = 11716996229848207872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108405 + ... + 128811.

Almost surely, 22420433456 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 2420433456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583318272).

2420433456 is an abundant number, since it is smaller than the sum of its proper divisors (4746203088).

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

2420433456 is a wasteful number, since it uses less digits than its factorization.

2420433456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20778 (or 20772 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The square root of 2420433456 is about 49197.9009308324. The cubic root of 2420433456 is about 1342.6548421284.

Adding to 2420433456 its reverse (6543340242), we get a palindrome (8963773698).

The spelling of 2420433456 in words is "two billion, four hundred twenty million, four hundred thirty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 353 706 1059 1412 2118 2471 2824 4236 4942 5648 7413 8472 9884 14826 16944 19768 20407 29652 39536 40814 59304 61221 81628 118608 122442 142849 163256 244884 285698 326512 428547 489768 571396 857094 979536 1142792 1714188 2285584 3428376 6856752 7203671 14407342 21611013 28814684 43222026 50425697 57629368 86444052 100851394 115258736 151277091 172888104 201702788 302554182 345776208 403405576 605108364 806811152 1210216728 2420433456