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4285857144 = 2331794192381
BaseRepresentation
bin1111111101110100…
…1111110101111000
3102001200121002201210
43333131033311320
532234134412034
61545140443120
7211131120222
oct37735176570
912050532653
104285857144
1118aa2889a8
129b73a94a0
13533c0a05a
142c92c5412
151a13dd8e9
hexff74fd78

4285857144 has 64 divisors (see below), whose sum is σ = 10804752000. Its totient is φ = 1416652160.

The previous prime is 4285857119. The next prime is 4285857161. The reversal of 4285857144 is 4417585824.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4285857093 and 4285857102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1798834 + ... + 1801214.

It is an arithmetic number, because the mean of its divisors is an integer number (168824250).

Almost surely, 24285857144 is an apocalyptic number.

It is an amenable number.

4285857144 is an abundant number, since it is smaller than the sum of its proper divisors (6518894856).

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

4285857144 is a wasteful number, since it uses less digits than its factorization.

4285857144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2984 counting only the distinct ones).

The product of its digits is 1433600, while the sum is 48.

The square root of 4285857144 is about 65466.4581598852. The cubic root of 4285857144 is about 1624.3485696902.

The spelling of 4285857144 in words is "four billion, two hundred eighty-five million, eight hundred fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 179 358 419 537 716 838 1074 1257 1432 1676 2148 2381 2514 3352 4296 4762 5028 7143 9524 10056 14286 19048 28572 57144 75001 150002 225003 300004 426199 450006 600008 852398 900012 997639 1278597 1704796 1800024 1995278 2557194 2992917 3409592 3990556 5114388 5985834 7981112 10228776 11971668 23943336 178577381 357154762 535732143 714309524 1071464286 1428619048 2142928572 4285857144