Search a number
-
+
8676026436 = 22372115325309
BaseRepresentation
bin10000001010010000…
…11010100001000100
3211101122110210211110
420011020122201010
5120232030321221
63552525205020
7425000002500
oct100510324104
924348423743
108676026436
113752433090
121821700770
13a8360a56c
145c43a1300
1535ba34776
hex20521a844

8676026436 has 144 divisors (see below), whose sum is σ = 26175804480. Its totient is φ = 2210906880.

The previous prime is 8676026431. The next prime is 8676026461. The reversal of 8676026436 is 6346206768.

It is not an unprimeable number, because it can be changed into a prime (8676026431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330150 + ... + 355458.

It is an arithmetic number, because the mean of its divisors is an integer number (181776420).

Almost surely, 28676026436 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 8676026436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13087902240).

8676026436 is an abundant number, since it is smaller than the sum of its proper divisors (17499778044).

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

8676026436 is a wasteful number, since it uses less digits than its factorization.

8676026436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25394 (or 25385 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The square root of 8676026436 is about 93145.1900851568. The cubic root of 8676026436 is about 2054.8192338080.

The spelling of 8676026436 in words is "eight billion, six hundred seventy-six million, twenty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 53 66 77 84 98 106 132 147 154 159 196 212 231 294 308 318 371 462 539 583 588 636 742 924 1078 1113 1166 1484 1617 1749 2156 2226 2332 2597 3234 3498 4081 4452 5194 6468 6996 7791 8162 10388 12243 15582 16324 24486 25309 28567 31164 48972 50618 57134 75927 85701 101236 114268 151854 171402 177163 278399 303708 342804 354326 531489 556798 708652 835197 1062978 1113596 1240141 1341377 1670394 1948793 2125956 2480282 2682754 3340788 3720423 3897586 4024131 4960564 5365508 5846379 7440846 7795172 8048262 9389639 11692758 13641551 14755147 14881692 16096524 18779278 23385516 27283102 28168917 29510294 37558556 40924653 44265441 54566204 56337834 59020588 65727473 81849306 88530882 103286029 112675668 131454946 163698612 177061764 197182419 206572058 262909892 309858087 394364838 413144116 619716174 723002203 788729676 1239432348 1446004406 2169006609 2892008812 4338013218 8676026436