Search a number
-
+
89713312 = 2513253313
BaseRepresentation
bin1010101100011…
…10101010100000
320020210220112021
411112032222200
5140431311222
612522511224
72136356563
oct526165240
9206726467
1089713312
1146705a37
1226065514
1315781600
14bcb44da
157d21ac7
hex558eaa0

89713312 has 72 divisors (see below), whose sum is σ = 195485724. Its totient is φ = 40495104.

The previous prime is 89713297. The next prime is 89713319. The reversal of 89713312 is 21331798.

It can be written as a sum of positive squares in 6 ways, for example, as 2178576 + 87534736 = 1476^2 + 9356^2 .

It is not an unprimeable number, because it can be changed into a prime (89713319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286468 + ... + 286780.

Almost surely, 289713312 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 89713312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97742862).

89713312 is an abundant number, since it is smaller than the sum of its proper divisors (105772412).

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

89713312 is a wasteful number, since it uses less digits than its factorization.

89713312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 381 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 89713312 is about 9471.7111442442. The cubic root of 89713312 is about 447.6641296349.

The spelling of 89713312 in words is "eighty-nine million, seven hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 169 208 212 313 338 416 424 626 676 689 848 1252 1352 1378 1696 2504 2704 2756 4069 5008 5408 5512 8138 8957 10016 11024 16276 16589 17914 22048 32552 33178 35828 52897 65104 66356 71656 105794 130208 132712 143312 211588 215657 265424 286624 423176 431314 530848 846352 862628 1692704 1725256 2803541 3450512 5607082 6901024 11214164 22428328 44856656 89713312