Search a number
-
+
88880000808 = 233371014432237
BaseRepresentation
bin101001011000110101…
…0010010111100101000
322111102012101212001210
41102301222102330220
52424011240011213
6104455250513120
76264346353534
oct1226152227450
9274365355053
1088880000808
113476a497125
12152858957a0
1384c5a8b671
144432274bc4
1524a2d950c3
hex14b1a92f28

88880000808 has 128 divisors (see below), whose sum is σ = 231088360320. Its totient is φ = 28463385600.

The previous prime is 88880000749. The next prime is 88880000813. The reversal of 88880000808 is 80800008888.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39730666 + ... + 39732902.

It is an arithmetic number, because the mean of its divisors is an integer number (1805377815).

Almost surely, 288880000808 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 88880000808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115544180160).

88880000808 is an abundant number, since it is smaller than the sum of its proper divisors (142208359512).

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

88880000808 is a wasteful number, since it uses less digits than its factorization.

88880000808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 48.

The spelling of 88880000808 in words is "eighty-eight billion, eight hundred eighty million, eight hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 37 74 101 111 148 202 222 296 303 404 443 444 606 808 886 888 1212 1329 1772 2237 2424 2658 3544 3737 4474 5316 6711 7474 8948 10632 11211 13422 14948 16391 17896 22422 26844 29896 32782 44743 44844 49173 53688 65564 82769 89486 89688 98346 131128 134229 165538 178972 196692 225937 248307 268458 331076 357944 393384 451874 496614 536916 662152 677811 903748 990991 993228 1073832 1355622 1655491 1807496 1981982 1986456 2711244 2972973 3310982 3963964 4966473 5422488 5945946 6621964 7927928 8359669 9932946 11891892 13243928 16719338 19865892 23783784 25079007 33438676 36666667 39731784 50158014 66877352 73333334 100090091 100316028 110000001 146666668 200180182 200632056 220000002 293333336 300270273 400360364 440000004 600540546 800720728 880000008 1201081092 2402162184 3703333367 7406666734 11110000101 14813333468 22220000202 29626666936 44440000404 88880000808