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88053480 = 233559059
BaseRepresentation
bin1010011111110…
…01011011101000
320010200120200000
411033321123220
5140020202410
612423143000
72116304454
oct517713350
9203616600
1088053480
1145781979
12255a4a60
131531cc68
14b9a1664
157ae4dc0
hex53f96e8

88053480 has 96 divisors (see below), whose sum is σ = 296805600. Its totient is φ = 23478336.

The previous prime is 88053461. The next prime is 88053481. The reversal of 88053480 is 8435088.

It is a super-2 number, since 2×880534802 = 15506830680220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (88053481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5191 + ... + 14249.

It is an arithmetic number, because the mean of its divisors is an integer number (3091725).

Almost surely, 288053480 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 88053480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148402800).

88053480 is an abundant number, since it is smaller than the sum of its proper divisors (208752120).

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

88053480 is a wasteful number, since it uses less digits than its factorization.

88053480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9085 (or 9069 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 88053480 is about 9383.6815802754. The cubic root of 88053480 is about 444.8861047573.

The spelling of 88053480 in words is "eighty-eight million, fifty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9059 9720 18118 27177 36236 45295 54354 72472 81531 90590 108708 135885 163062 181180 217416 244593 271770 326124 362360 407655 489186 543540 652248 733779 815310 978372 1087080 1222965 1467558 1630620 1956744 2201337 2445930 2935116 3261240 3668895 4402674 4891860 5870232 7337790 8805348 9783720 11006685 14675580 17610696 22013370 29351160 44026740 88053480