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4385063424 = 2937617661
BaseRepresentation
bin1000001010101111…
…01100001000000000
3102022121021022011110
410011113230020000
532440034012144
62003043043320
7213444265320
oct40527541000
912277238143
104385063424
111950288065
12a24670540
1354b6334b1
142d854b280
151a9e880b9
hex1055ec200

4385063424 has 160 divisors (see below), whose sum is σ = 13392821376. Its totient is φ = 1248952320.

The previous prime is 4385063411. The next prime is 4385063467. The reversal of 4385063424 is 4243605834.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6633654 + ... + 6634314.

Almost surely, 24385063424 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 4385063424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696410688).

4385063424 is an abundant number, since it is smaller than the sum of its proper divisors (9007757952).

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

4385063424 is an equidigital number, since it uses as much as digits as its factorization.

4385063424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The square root of 4385063424 is about 66219.8114162220. The cubic root of 4385063424 is about 1636.7862187083.

The spelling of 4385063424 in words is "four billion, three hundred eighty-five million, sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 617 661 672 768 896 1234 1322 1344 1536 1792 1851 1983 2468 2644 2688 3584 3702 3966 4319 4627 4936 5288 5376 7404 7932 8638 9254 9872 10576 10752 12957 13881 14808 15864 17276 18508 19744 21152 25914 27762 29616 31728 34552 37016 39488 42304 51828 55524 59232 63456 69104 74032 78976 84608 103656 111048 118464 126912 138208 148064 157952 169216 207312 222096 236928 253824 276416 296128 315904 338432 407837 414624 444192 473856 507648 552832 592256 815674 829248 888384 947712 1015296 1105664 1184512 1223511 1631348 1658496 1776768 2211328 2369024 2447022 2854859 3262696 3316992 3553536 4894044 5709718 6525392 6633984 7107072 8564577 9788088 11419436 13050784 17129154 19576176 22838872 26101568 34258308 39152352 45677744 52203136 68516616 78304704 91355488 104406272 137033232 156609408 182710976 208812544 274066464 313218816 365421952 548132928 626437632 730843904 1096265856 1461687808 2192531712 4385063424