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89724672 = 28344327
BaseRepresentation
bin1010101100100…
…01011100000000
320020211111010000
411112101130000
5140432142142
612523040000
72136434652
oct526213400
9206744100
1089724672
1146713524
1226070000
131578682b
14bcb86d2
157d2514c
hex5591700

89724672 has 90 divisors (see below), whose sum is σ = 267604568. Its totient is φ = 29901312.

The previous prime is 89724647. The next prime is 89724673. The reversal of 89724672 is 27642798.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89724673) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18573 + ... + 22899.

Almost surely, 289724672 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 89724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133802284).

89724672 is an abundant number, since it is smaller than the sum of its proper divisors (177879896).

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

89724672 is an equidigital number, since it uses as much as digits as its factorization.

89724672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4332 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 89724672 is about 9472.3108057116. The cubic root of 89724672 is about 447.6830240805.

The spelling of 89724672 in words is "eighty-nine million, seven hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 4327 5184 6912 8654 10368 12981 17308 20736 25962 34616 38943 51924 69232 77886 103848 116829 138464 155772 207696 233658 276928 311544 350487 415392 467316 553856 623088 700974 830784 934632 1107712 1246176 1401948 1661568 1869264 2492352 2803896 3323136 3738528 4984704 5607792 7477056 9969408 11215584 14954112 22431168 29908224 44862336 89724672