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4385021424 = 2437311972137
BaseRepresentation
bin1000001010101111…
…00001110111110000
3102022121012011112220
410011113201313300
532440031141144
62003042121040
7213444032010
oct40527416760
912277164486
104385021424
111950259553
12a24650180
1354b61a344
142d8539c40
151a9e7a919
hex1055e1df0

4385021424 has 160 divisors (see below), whose sum is σ = 13437997056. Its totient is φ = 1205729280.

The previous prime is 4385021413. The next prime is 4385021437. The reversal of 4385021424 is 4241205834.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2050884 + ... + 2053020.

Almost surely, 24385021424 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 4385021424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6718998528).

4385021424 is an abundant number, since it is smaller than the sum of its proper divisors (9052975632).

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

4385021424 is a wasteful number, since it uses less digits than its factorization.

4385021424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 4385021424 is about 66219.4942898237. The cubic root of 4385021424 is about 1636.7809929959.

The spelling of 4385021424 in words is "four billion, three hundred eighty-five million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 197 217 248 336 372 394 434 496 591 651 744 788 868 1182 1302 1379 1488 1576 1736 2137 2364 2604 2758 3152 3472 4137 4274 4728 5208 5516 6107 6411 8274 8548 9456 10416 11032 12214 12822 14959 16548 17096 18321 22064 24428 25644 29918 33096 34192 36642 42749 44877 48856 51288 59836 66192 66247 73284 85498 89754 97712 102576 119672 128247 132494 146568 170996 179508 198741 239344 256494 264988 293136 341992 359016 397482 420989 463729 512988 529976 683984 718032 794964 841978 927458 1025976 1059952 1262967 1391187 1589928 1683956 1854916 2051952 2525934 2782374 2946923 3179856 3367912 3709832 5051868 5564748 5893846 6735824 7419664 8840769 10103736 11129496 11787692 13050659 17681538 20207472 22258992 23575384 26101318 35363076 39151977 47150768 52202636 70726152 78303954 91354613 104405272 141452304 156607908 182709226 208810544 274063839 313215816 365418452 548127678 626431632 730836904 1096255356 1461673808 2192510712 4385021424