Search a number
-
+
881808768 = 2734175003
BaseRepresentation
bin110100100011110…
…101010110000000
32021110021112020000
4310203311112000
53301220340033
6223300120000
730565152021
oct6443652600
92243245200
10881808768
11412837a85
12207396000
131108c7649
1485182c48
1552636a13
hex348f5580

881808768 has 160 divisors (see below), whose sum is σ = 2779171560. Its totient is φ = 276590592.

The previous prime is 881808761. The next prime is 881808769. The reversal of 881808768 is 867808188.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (881808761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 173755 + ... + 178757.

Almost surely, 2881808768 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 881808768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389585780).

881808768 is an abundant number, since it is smaller than the sum of its proper divisors (1897362792).

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

881808768 is a wasteful number, since it uses less digits than its factorization.

881808768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The square root of 881808768 is about 29695.2650771129. The cubic root of 881808768 is about 958.9400801911.

The spelling of 881808768 in words is "eight hundred eighty-one million, eight hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 816 864 918 1088 1152 1224 1296 1377 1632 1728 1836 2176 2448 2592 2754 3264 3456 3672 4896 5003 5184 5508 6528 7344 9792 10006 10368 11016 14688 15009 19584 20012 22032 29376 30018 40024 44064 45027 58752 60036 80048 85051 88128 90054 120072 135081 160096 170102 176256 180108 240144 255153 270162 320192 340204 360216 405243 480288 510306 540324 640384 680408 720432 765459 810486 960576 1020612 1080648 1360816 1440864 1530918 1620972 1921152 2041224 2161296 2296377 2721632 2881728 3061836 3241944 4082448 4322592 4592754 5443264 5763456 6123672 6483888 6889131 8164896 8645184 9185508 10886528 12247344 12967776 13778262 16329792 17290368 18371016 24494688 25935552 27556524 32659584 36742032 48989376 51871104 55113048 73484064 97978752 110226096 146968128 220452192 293936256 440904384 881808768