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80233088 = 271323709
BaseRepresentation
bin1001100100001…
…00001010000000
312120222021002212
410302010022000
5131014424323
611543401252
71662653465
oct462041200
9176867085
1080233088
1141320341
1222a53228
1313812500
14a92766c
15709cb78
hex4c84280

80233088 has 48 divisors (see below), whose sum is σ = 173127150. Its totient is φ = 37020672.

The previous prime is 80233079. The next prime is 80233099. The reversal of 80233088 is 88033208.

It can be written as a sum of positive squares in 3 ways, for example, as 30558784 + 49674304 = 5528^2 + 7048^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19778 + ... + 23486.

Almost surely, 280233088 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 80233088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86563575).

80233088 is an abundant number, since it is smaller than the sum of its proper divisors (92894062).

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

80233088 is a wasteful number, since it uses less digits than its factorization.

80233088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 80233088 is about 8957.2924480559. The cubic root of 80233088 is about 431.3050096319.

It can be divided in two parts, 8023 and 3088, that added together give a palindrome (11111).

The spelling of 80233088 in words is "eighty million, two hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2704 3709 5408 7418 10816 14836 21632 29672 48217 59344 96434 118688 192868 237376 385736 474752 626821 771472 1253642 1542944 2507284 3085888 5014568 6171776 10029136 20058272 40116544 80233088