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4284496192 = 262914915493
BaseRepresentation
bin1111111101100000…
…0011100101000000
3102001121000221212011
43333120003211000
532233312334232
61545051342304
7211113421354
oct37730034500
912047027764
104284496192
1118a9539449
129b6a51994
13533851762
142c904d464
151a1220547
hexff603940

4284496192 has 56 divisors (see below), whose sum is σ = 8854821000. Its totient is φ = 2054363136.

The previous prime is 4284496169. The next prime is 4284496193. The reversal of 4284496192 is 2916944824.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40755456 + 4243740736 = 6384^2 + 65144^2 .

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284496193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268798 + ... + 284290.

Almost surely, 24284496192 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 4284496192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427410500).

4284496192 is an abundant number, since it is smaller than the sum of its proper divisors (4570324808).

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

4284496192 is a wasteful number, since it uses less digits than its factorization.

4284496192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15683 (or 15673 counting only the distinct ones).

The product of its digits is 995328, while the sum is 49.

The square root of 4284496192 is about 65456.0630652348. The cubic root of 4284496192 is about 1624.1766169632.

The spelling of 4284496192 in words is "four billion, two hundred eighty-four million, four hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 149 232 298 464 596 928 1192 1856 2384 4321 4768 8642 9536 15493 17284 30986 34568 61972 69136 123944 138272 247888 276544 449297 495776 898594 991552 1797188 2308457 3594376 4616914 7188752 9233828 14377504 18467656 28755008 36935312 66945253 73870624 133890506 147741248 267781012 535562024 1071124048 2142248096 4284496192