Search a number
-
+
89801296 = 24131931733
BaseRepresentation
bin1010101101001…
…00001001010000
320020222101012221
411112210021100
5140442120141
612524430424
72140204234
oct526441120
9206871187
1089801296
1146766052
12260a8414
13157b2680
14bcd85c4
157d3cbd1
hex55a4250

89801296 has 80 divisors (see below), whose sum is σ = 203875840. Its totient is φ = 37946880.

The previous prime is 89801291. The next prime is 89801303. The reversal of 89801296 is 69210898.

89801296 = T438 + T439 + ... + T853.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89801291) 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, 122146 + ... + 122878.

It is an arithmetic number, because the mean of its divisors is an integer number (2548448).

Almost surely, 289801296 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 89801296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101937920).

89801296 is an abundant number, since it is smaller than the sum of its proper divisors (114074544).

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

89801296 is a wasteful number, since it uses less digits than its factorization.

89801296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 89801296 is about 9476.3545733578. The cubic root of 89801296 is about 447.8104268079.

The spelling of 89801296 in words is "eighty-nine million, eight hundred one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 31 38 52 62 76 104 124 152 208 247 248 304 403 494 496 589 733 806 988 1178 1466 1612 1976 2356 2932 3224 3952 4712 5864 6448 7657 9424 9529 11728 13927 15314 19058 22723 27854 30628 38116 45446 55708 61256 76232 90892 111416 122512 152464 181051 181784 222832 295399 362102 363568 431737 590798 724204 863474 1181596 1448408 1726948 2363192 2896816 3453896 4726384 5612581 6907792 11225162 22450324 44900648 89801296