Search a number
-
+
89480040 = 233513411399
BaseRepresentation
bin1010101010101…
…01101101101000
320020101001112120
411111111231220
5140401330130
612513511240
72134365516
oct525255550
9206331476
1089480040
1146566751
1225b72520
13156cc390
14bc534b6
157cc7910
hex5555b68

89480040 has 128 divisors (see below), whose sum is σ = 296352000. Its totient is φ = 21473280.

The previous prime is 89480021. The next prime is 89480047. The reversal of 89480040 is 4008498.

It is a junction number, because it is equal to n+sod(n) for n = 89479983 and 89480010.

It is not an unprimeable number, because it can be changed into a prime (89480047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63261 + ... + 64659.

It is an arithmetic number, because the mean of its divisors is an integer number (2315250).

Almost surely, 289480040 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 89480040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148176000).

89480040 is an abundant number, since it is smaller than the sum of its proper divisors (206871960).

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

89480040 is a wasteful number, since it uses less digits than its factorization.

89480040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 89480040 is about 9459.3889866101. The cubic root of 89480040 is about 447.2757883506.

The spelling of 89480040 in words is "eighty-nine million, four hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 41 52 60 65 78 82 104 120 123 130 156 164 195 205 246 260 312 328 390 410 492 520 533 615 780 820 984 1066 1230 1399 1560 1599 1640 2132 2460 2665 2798 3198 4197 4264 4920 5330 5596 6396 6995 7995 8394 10660 11192 12792 13990 15990 16788 18187 20985 21320 27980 31980 33576 36374 41970 54561 55960 57359 63960 72748 83940 90935 109122 114718 145496 167880 172077 181870 218244 229436 272805 286795 344154 363740 436488 458872 545610 573590 688308 727480 745667 860385 1091220 1147180 1376616 1491334 1720770 2182440 2237001 2294360 2982668 3441540 3728335 4474002 5965336 6883080 7456670 8948004 11185005 14913340 17896008 22370010 29826680 44740020 89480040