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89855520 = 25351311429
BaseRepresentation
bin1010101101100…
…01011000100000
320021002010121020
411112301120200
5141000334040
612525525440
72140521306
oct526613040
9207063536
1089855520
11467a2867
1226113880
1315801261
14bd10276
157d4dcd0
hex55b1620

89855520 has 96 divisors (see below), whose sum is σ = 285405120. Its totient is φ = 23761920.

The previous prime is 89855483. The next prime is 89855527. The reversal of 89855520 is 2555898.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (89855527) 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 15 ways as a sum of consecutive naturals, for example, 62166 + ... + 63594.

It is an arithmetic number, because the mean of its divisors is an integer number (2972970).

Almost surely, 289855520 is an apocalyptic number.

89855520 is a gapful number since it is divisible by the number (80) 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 89855520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142702560).

89855520 is an abundant number, since it is smaller than the sum of its proper divisors (195549600).

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

89855520 is a wasteful number, since it uses less digits than its factorization.

89855520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The square root of 89855520 is about 9479.2151573851. The cubic root of 89855520 is about 447.9005412715.

The spelling of 89855520 in words is "eighty-nine million, eight hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 131 160 240 262 393 480 524 655 786 1048 1310 1429 1572 1965 2096 2620 2858 3144 3930 4192 4287 5240 5716 6288 7145 7860 8574 10480 11432 12576 14290 15720 17148 20960 21435 22864 28580 31440 34296 42870 45728 57160 62880 68592 85740 114320 137184 171480 187199 228640 342960 374398 561597 685920 748796 935995 1123194 1497592 1871990 2246388 2807985 2995184 3743980 4492776 5615970 5990368 7487960 8985552 11231940 14975920 17971104 22463880 29951840 44927760 89855520