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4385000124 = 22355976463
BaseRepresentation
bin1000001010101110…
…11100101010111100
3102022121011002100000
410011113130222330
532440030000444
62003041434300
7213443612631
oct40527345274
912277132300
104385000124
11195024454a
12a2463b990
1354b61073b
142d8532188
151a9e74469
hex1055dcabc

4385000124 has 72 divisors (see below), whose sum is σ = 11689816320. Its totient is φ = 1436873904.

The previous prime is 4385000089. The next prime is 4385000153. The reversal of 4385000124 is 4210005834.

4385000124 is a `hidden beast` number, since 4 + 38 + 500 + 0 + 124 = 666.

It is a super-3 number, since 3×43850001243 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19117 + ... + 95579.

It is an arithmetic number, because the mean of its divisors is an integer number (162358560).

Almost surely, 24385000124 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 4385000124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5844908160).

4385000124 is an abundant number, since it is smaller than the sum of its proper divisors (7304816196).

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

4385000124 is a wasteful number, since it uses less digits than its factorization.

4385000124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76541 (or 76527 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4385000124 is about 66219.3334608557. Note that the first 3 decimals coincide. The cubic root of 4385000124 is about 1636.7783428005.

Adding to 4385000124 its reverse (4210005834), we get a palindrome (8595005958).

The spelling of 4385000124 in words is "four billion, three hundred eighty-five million, one hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 243 324 354 486 531 708 972 1062 1593 2124 3186 4779 6372 9558 14337 19116 28674 57348 76463 152926 229389 305852 458778 688167 917556 1376334 2064501 2752668 4129002 4511317 6193503 8258004 9022634 12387006 13533951 18045268 18580509 24774012 27067902 37161018 40601853 54135804 74322036 81203706 121805559 162407412 243611118 365416677 487222236 730833354 1096250031 1461666708 2192500062 4385000124