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89718784 = 216372
BaseRepresentation
bin1010101100100…
…00000000000000
320020211012000221
411112100000000
5140432000114
612522552424
72136411541
oct526200000
9206735027
1089718784
114670a061
1226068714
1315783c4c
14bcb64c8
157d23524
hex5590000

89718784 has 51 divisors (see below), whose sum is σ = 184416897. Its totient is φ = 43646976.

The previous prime is 89718781. The next prime is 89718793. The reversal of 89718784 is 48781798.

The square root of 89718784 is 9472.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80281600 + 9437184 = 8960^2 + 3072^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89718781) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2424814 + ... + 2424850.

Almost surely, 289718784 is an apocalyptic number.

89718784 is the 9472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89718784

89718784 is an abundant number, since it is smaller than the sum of its proper divisors (94698113).

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

89718784 is an frugal number, since it uses more digits than its factorization.

89718784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 39 counting only the distinct ones).

The product of its digits is 903168, while the sum is 52.

The cubic root of 89718784 is about 447.6732311021.

The spelling of 89718784 in words is "eighty-nine million, seven hundred eighteen thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 1369 2048 2368 2738 4096 4736 5476 8192 9472 10952 16384 18944 21904 32768 37888 43808 65536 75776 87616 151552 175232 303104 350464 606208 700928 1212416 1401856 2424832 2803712 5607424 11214848 22429696 44859392 89718784