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89478072 = 233217411783
BaseRepresentation
bin1010101010101…
…01001110111000
320020100221211200
411111111032320
5140401244242
612513454200
72134360005
oct525251670
9206327750
1089478072
1146565222
1225b71360
13156cb508
14bc528ac
157cc704c
hex55553b8

89478072 has 96 divisors (see below), whose sum is σ = 262997280. Its totient is φ = 27371520.

The previous prime is 89478061. The next prime is 89478097. The reversal of 89478072 is 27087498.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49293 + ... + 51075.

It is an arithmetic number, because the mean of its divisors is an integer number (2739555).

Almost surely, 289478072 is an apocalyptic number.

89478072 is a gapful number since it is divisible by the number (82) 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 89478072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131498640).

89478072 is an abundant number, since it is smaller than the sum of its proper divisors (173519208).

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

89478072 is a wasteful number, since it uses less digits than its factorization.

89478072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 89478072 is about 9459.2849624060. The cubic root of 89478072 is about 447.2725092386.

The spelling of 89478072 in words is "eighty-nine million, four hundred seventy-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 41 51 68 72 82 102 123 136 153 164 204 246 306 328 369 408 492 612 697 738 984 1224 1394 1476 1783 2091 2788 2952 3566 4182 5349 5576 6273 7132 8364 10698 12546 14264 16047 16728 21396 25092 30311 32094 42792 50184 60622 64188 73103 90933 121244 128376 146206 181866 219309 242488 272799 292412 363732 438618 545598 584824 657927 727464 877236 1091196 1242751 1315854 1754472 2182392 2485502 2631708 3728253 4971004 5263416 7456506 9942008 11184759 14913012 22369518 29826024 44739036 89478072