Search a number
-
+
89972736 = 21337523
BaseRepresentation
bin1010101110011…
…10000000000000
320021022002101120
411113032000000
5141013111421
612532232240
72141520120
oct527160000
9207262346
1089972736
1146872937
122616b680
1315842709
14bd40c80
157d738c6
hex55ce000

89972736 has 112 divisors (see below), whose sum is σ = 274710144. Its totient is φ = 25657344.

The previous prime is 89972731. The next prime is 89972749. The reversal of 89972736 is 63727998.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89972731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171771 + ... + 172293.

Almost surely, 289972736 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 89972736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137355072).

89972736 is an abundant number, since it is smaller than the sum of its proper divisors (184737408).

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

89972736 is an equidigital number, since it uses as much as digits as its factorization.

89972736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 535 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 51.

The square root of 89972736 is about 9485.3959326957. The cubic root of 89972736 is about 448.0952178562.

The spelling of 89972736 in words is "eighty-nine million, nine hundred seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 523 672 768 896 1024 1046 1344 1536 1569 1792 2048 2092 2688 3072 3138 3584 3661 4096 4184 5376 6144 6276 7168 7322 8192 8368 10752 10983 12288 12552 14336 14644 16736 21504 21966 24576 25104 28672 29288 33472 43008 43932 50208 57344 58576 66944 86016 87864 100416 117152 133888 172032 175728 200832 234304 267776 351456 401664 468608 535552 702912 803328 937216 1071104 1405824 1606656 1874432 2142208 2811648 3213312 3748864 4284416 5623296 6426624 7497728 11246592 12853248 14995456 22493184 29990912 44986368 89972736