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4239799506 = 23231711031039
BaseRepresentation
bin1111110010110110…
…0011010011010010
3101221110221010112100
43330231203103102
532140342041011
61540413341230
7210031462335
oct37455432322
911843833470
104239799506
111886290138
129a3a97816
13527502207
142c313661c
1519c341d56
hexfcb634d2

4239799506 has 96 divisors (see below), whose sum is σ = 9718824960. Its totient is φ = 1334037600.

The previous prime is 4239799477. The next prime is 4239799511. The reversal of 4239799506 is 6059979324.

4239799506 is a `hidden beast` number, since 42 + 3 + 9 + 7 + 99 + 506 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4080135 + ... + 4081173.

It is an arithmetic number, because the mean of its divisors is an integer number (101237760).

Almost surely, 24239799506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4239799506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4859412480).

4239799506 is an abundant number, since it is smaller than the sum of its proper divisors (5479025454).

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

4239799506 is a wasteful number, since it uses less digits than its factorization.

4239799506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The square root of 4239799506 is about 65113.7428351343. The cubic root of 4239799506 is about 1618.5089549978.

The spelling of 4239799506 in words is "four billion, two hundred thirty-nine million, seven hundred ninety-nine thousand, five hundred six".

Divisors: 1 2 3 6 9 18 31 62 71 93 103 142 186 206 213 279 309 426 558 618 639 927 1039 1278 1854 2078 2201 3117 3193 4402 6234 6386 6603 7313 9351 9579 13206 14626 18702 19158 19809 21939 28737 32209 39618 43878 57474 64418 65817 73769 96627 107017 131634 147538 193254 214034 221307 226703 289881 321051 442614 453406 579762 642102 663921 680109 963153 1327842 1360218 1926306 2040327 2286839 3317527 4080654 4573678 6635054 6860517 7598207 9952581 13721034 15196414 19905162 20581551 22794621 29857743 41163102 45589242 59715486 68383863 136767726 235544417 471088834 706633251 1413266502 2119899753 4239799506