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4240946052 = 2233712744171
BaseRepresentation
bin1111110011000111…
…1011001110000100
3101221120002101022000
43330301323032010
532141140233202
61540454105300
7210044306130
oct37461731604
911846071260
104240946052
1118869a35a2
129a434b230
13527814045
142c33543c0
1519c4bb91c
hexfcc7b384

4240946052 has 96 divisors (see below), whose sum is σ = 12664995840. Its totient is φ = 1202130720.

The previous prime is 4240946029. The next prime is 4240946077. The reversal of 4240946052 is 2506490424.

4240946052 is a `hidden beast` number, since 4 + 2 + 40 + 9 + 4 + 605 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4240945998 and 4240946016.

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, 73927 + ... + 118097.

It is an arithmetic number, because the mean of its divisors is an integer number (131927040).

Almost surely, 24240946052 is an apocalyptic number.

4240946052 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 4240946052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332497920).

4240946052 is an abundant number, since it is smaller than the sum of its proper divisors (8424049788).

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

4240946052 is a wasteful number, since it uses less digits than its factorization.

4240946052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44318 (or 44310 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4240946052 is about 65122.5464182721. The cubic root of 4240946052 is about 1618.6548367167.

The spelling of 4240946052 in words is "four billion, two hundred forty million, nine hundred forty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 127 189 252 254 378 381 508 756 762 889 1143 1524 1778 2286 2667 3429 3556 4572 5334 6858 8001 10668 13716 16002 24003 32004 44171 48006 88342 96012 132513 176684 265026 309197 397539 530052 618394 795078 927591 1192617 1236788 1590156 1855182 2385234 2782773 3710364 4770468 5565546 5609717 8348319 11131092 11219434 16696638 16829151 22438868 33393276 33658302 39268019 50487453 67316604 78536038 100974906 117804057 151462359 157072076 201949812 235608114 302924718 353412171 471216228 605849436 706824342 1060236513 1413648684 2120473026 4240946052