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89542656 = 212327347
BaseRepresentation
bin1010101011001…
…01000000000000
320020111020102200
411111211000000
5140410331111
612515113200
72135046210
oct525450000
9206436380
1089542656
11465a97a5
1225ba2800
1315721a28
14bc6c240
157cdb256
hex5565000

89542656 has 156 divisors (see below), whose sum is σ = 296448672. Its totient is φ = 25509888.

The previous prime is 89542639. The next prime is 89542667. The reversal of 89542656 is 65624598.

Its product of digits (518400) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257875 + ... + 258221.

It is an arithmetic number, because the mean of its divisors is an integer number (1900312).

Almost surely, 289542656 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 89542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148224336).

89542656 is an abundant number, since it is smaller than the sum of its proper divisors (206906016).

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

89542656 is a wasteful number, since it uses less digits than its factorization.

89542656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 359 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 89542656 is about 9462.6981353100. The cubic root of 89542656 is about 447.3800950038.

The spelling of 89542656 in words is "eighty-nine million, five hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 347 384 448 504 512 576 672 694 768 896 1008 1024 1041 1152 1344 1388 1536 1792 2016 2048 2082 2304 2429 2688 2776 3072 3123 3584 4032 4096 4164 4608 4858 5376 5552 6144 6246 7168 7287 8064 8328 9216 9716 10752 11104 12288 12492 14336 14574 16128 16656 18432 19432 21504 21861 22208 24984 28672 29148 32256 33312 36864 38864 43008 43722 44416 49968 58296 64512 66624 77728 86016 87444 88832 99936 116592 129024 133248 155456 174888 177664 199872 233184 258048 266496 310912 349776 355328 399744 466368 532992 621824 699552 710656 799488 932736 1065984 1243648 1399104 1421312 1598976 1865472 2131968 2487296 2798208 3197952 3730944 4263936 4974592 5596416 6395904 7461888 9949184 11192832 12791808 14923776 22385664 29847552 44771328 89542656