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89499760 = 2457712251
BaseRepresentation
bin1010101010110…
…10100001110000
320020102001120221
411111122201300
5140402443020
612514142424
72134510150
oct525324160
9206361527
1089499760
114657a549
1225b81a14
131570834c
14bc5a760
157ccd6aa
hex555a870

89499760 has 80 divisors (see below), whose sum is σ = 241270272. Its totient is φ = 30240000.

The previous prime is 89499743. The next prime is 89499763. The reversal of 89499760 is 6799498.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 89499698 and 89499707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89499763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38635 + ... + 40885.

Almost surely, 289499760 is an apocalyptic number.

89499760 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 89499760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120635136).

89499760 is an abundant number, since it is smaller than the sum of its proper divisors (151770512).

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

89499760 is a wasteful number, since it uses less digits than its factorization.

89499760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The square root of 89499760 is about 9460.4312798096. The cubic root of 89499760 is about 447.3086434643.

It can be divided in two parts, 89 and 499760, that added together give a square (499849 = 7072).

The spelling of 89499760 in words is "eighty-nine million, four hundred ninety-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 71 80 112 140 142 280 284 355 497 560 568 710 994 1136 1420 1988 2251 2485 2840 3976 4502 4970 5680 7952 9004 9940 11255 15757 18008 19880 22510 31514 36016 39760 45020 63028 78785 90040 126056 157570 159821 180080 252112 315140 319642 630280 639284 799105 1118747 1260560 1278568 1598210 2237494 2557136 3196420 4474988 5593735 6392840 8949976 11187470 12785680 17899952 22374940 44749880 89499760