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88042788 = 2236109277
BaseRepresentation
bin1010011111101…
…10110100100100
320010200001000000
411033312310210
5140014332123
612423021300
72116231341
oct517666444
9203601000
1088042788
1145774939
122559a830
1315318132
14b99b7c8
157ae1b43
hex53f6d24

88042788 has 84 divisors (see below), whose sum is σ = 233967580. Its totient is φ = 28973376.

The previous prime is 88042741. The next prime is 88042819. The reversal of 88042788 is 88724088.

It can be written as a sum of positive squares in 2 ways, for example, as 37234404 + 50808384 = 6102^2 + 7128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 317706 + ... + 317982.

Almost surely, 288042788 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 88042788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116983790).

88042788 is an abundant number, since it is smaller than the sum of its proper divisors (145924792).

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

88042788 is a wasteful number, since it uses less digits than its factorization.

88042788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 88042788 is about 9383.1118505536. Note that the first 3 decimals coincide. The cubic root of 88042788 is about 444.8680970845.

The spelling of 88042788 in words is "eighty-eight million, forty-two thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 243 277 324 327 436 486 554 654 729 831 972 981 1108 1308 1458 1662 1962 2493 2916 2943 3324 3924 4986 5886 7479 8829 9972 11772 14958 17658 22437 26487 29916 30193 35316 44874 52974 60386 67311 79461 89748 90579 105948 120772 134622 158922 181158 201933 269244 271737 317844 362316 403866 543474 807732 815211 1086948 1630422 2445633 3260844 4891266 7336899 9782532 14673798 22010697 29347596 44021394 88042788