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80088008 = 237111373137
BaseRepresentation
bin1001100011000…
…00101111001000
312120200220002112
410301200233020
5131000304013
611540321452
71661510510
oct461405710
9176626075
1080088008
1141231340
12229a3288
1313791470
14a8ca840
15706eba8
hex4c60bc8

80088008 has 128 divisors (see below), whose sum is σ = 205873920. Its totient is φ = 28200960.

The previous prime is 80088007. The next prime is 80088031.

80088008 is nontrivially palindromic in base 10.

80088008 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (80088007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584516 + ... + 584652.

It is an arithmetic number, because the mean of its divisors is an integer number (1608390).

Almost surely, 280088008 is an apocalyptic number.

80088008 is a gapful number since it is divisible by the number (88) 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 80088008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102936960).

80088008 is an abundant number, since it is smaller than the sum of its proper divisors (125785912).

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

80088008 is a wasteful number, since it uses less digits than its factorization.

80088008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 80088008 is about 8949.1903544399. The cubic root of 80088008 is about 431.0448863410.

The spelling of 80088008 in words is "eighty million, eighty-eight thousand, eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 73 77 88 91 104 137 143 146 154 182 274 286 292 308 364 511 548 572 584 616 728 803 949 959 1001 1022 1096 1144 1507 1606 1781 1898 1918 2002 2044 3014 3212 3562 3796 3836 4004 4088 5621 6028 6424 6643 7124 7592 7672 8008 10001 10439 10549 11242 12056 12467 13286 14248 19591 20002 20878 21098 22484 24934 26572 39182 40004 41756 42196 44968 49868 53144 70007 73073 78364 80008 83512 84392 99736 110011 130013 137137 140014 146146 156728 220022 260026 274274 280028 292292 440044 520052 548548 560056 584584 770077 880088 910091 1040104 1097096 1430143 1540154 1820182 2860286 3080308 3640364 5720572 6160616 7280728 10011001 11441144 20022002 40044004 80088008