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89897040 = 2434513873
BaseRepresentation
bin1010101101110…
…11100001010000
320021011020120000
411112323201100
5141003201130
612530450000
72141053332
oct526734120
9207136500
1089897040
1146820a82
1226133900
131581711c
14bd21452
157d5b260
hex55bb850

89897040 has 100 divisors (see below), whose sum is σ = 312248244. Its totient is φ = 23970816.

The previous prime is 89897039. The next prime is 89897053. The reversal of 89897040 is 4079898.

It can be written as a sum of positive squares in 2 ways, for example, as 37015056 + 52881984 = 6084^2 + 7272^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 457 + ... + 13416.

Almost surely, 289897040 is an apocalyptic number.

89897040 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 89897040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156124122).

89897040 is an abundant number, since it is smaller than the sum of its proper divisors (222351204).

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

89897040 is a wasteful number, since it uses less digits than its factorization.

89897040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13898 (or 13883 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 89897040 is about 9481.4049591819. The cubic root of 89897040 is about 447.9695185469.

The spelling of 89897040 in words is "eighty-nine million, eight hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 13873 27746 41619 55492 69365 83238 110984 124857 138730 166476 208095 221968 249714 277460 332952 374571 416190 499428 554920 624285 665904 749142 832380 998856 1109840 1123713 1248570 1498284 1664760 1872855 1997712 2247426 2497140 2996568 3329520 3745710 4494852 4994280 5618565 5993136 7491420 8989704 9988560 11237130 14982840 17979408 22474260 29965680 44948520 89897040