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4385033352 = 2332723216447
BaseRepresentation
bin1000001010101111…
…00100110010001000
3102022121012202220200
410011113210302020
532440032031402
62003042252200
7213444111540
oct40527446210
912277182820
104385033352
111950267507
12a24657060
1354b6228bb
142d8540320
151a9e7e21c
hex1055e4c88

4385033352 has 144 divisors (see below), whose sum is σ = 14189360640. Its totient is φ = 1198321344.

The previous prime is 4385033339. The next prime is 4385033357. The reversal of 4385033352 is 2533305834.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4385033357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 258393 + ... + 274839.

Almost surely, 24385033352 is an apocalyptic number.

4385033352 is a gapful number since it is divisible by the number (42) 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 4385033352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7094680320).

4385033352 is an abundant number, since it is smaller than the sum of its proper divisors (9804327288).

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

4385033352 is a wasteful number, since it uses less digits than its factorization.

4385033352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16512 (or 16482 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 4385033352 is about 66219.5843538753. The cubic root of 4385033352 is about 1636.7824771016.

The spelling of 4385033352 in words is "four billion, three hundred eighty-five million, thirty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 529 552 644 828 966 1058 1288 1449 1587 1656 1932 2116 2898 3174 3703 3864 4232 4761 5796 6348 7406 9522 11109 11592 12696 14812 16447 19044 22218 29624 32894 33327 38088 44436 49341 65788 66654 88872 98682 115129 131576 133308 148023 197364 230258 266616 296046 345387 378281 394728 460516 592092 690774 756562 921032 1036161 1134843 1184184 1381548 1513124 2072322 2269686 2647967 2763096 3026248 3404529 4144644 4539372 5295934 6809058 7943901 8289288 8700463 9078744 10591868 13618116 15887802 17400926 21183736 23831703 26101389 27236232 31775604 34801852 47663406 52202778 60903241 63551208 69603704 78304167 95326812 104405556 121806482 156608334 182709723 190653624 208811112 243612964 313216668 365419446 487225928 548129169 626433336 730838892 1096258338 1461677784 2192516676 4385033352