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89444352 = 212329251
BaseRepresentation
bin1010101010011…
…01000000000000
320020022020120210
411111031000000
5140344204402
612513034120
72134156464
oct525150000
9206266523
1089444352
1146541958
1225b55940
13156b906a
14bc444a4
157cbc06c
hex554d000

89444352 has 104 divisors (see below), whose sum is σ = 247695840. Its totient is φ = 28672000.

The previous prime is 89444351. The next prime is 89444387. The reversal of 89444352 is 25344498.

It is a self number, because there is not a number n which added to its sum of digits gives 89444352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89444351) 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, 356227 + ... + 356477.

Almost surely, 289444352 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 89444352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123847920).

89444352 is an abundant number, since it is smaller than the sum of its proper divisors (158251488).

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

89444352 is a wasteful number, since it uses less digits than its factorization.

89444352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 89444352 is about 9457.5024187150. The cubic root of 89444352 is about 447.2163169834.

The spelling of 89444352 in words is "eighty-nine million, four hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 251 256 348 384 464 502 512 696 753 768 928 1004 1024 1392 1506 1536 1856 2008 2048 2784 3012 3072 3712 4016 4096 5568 6024 6144 7279 7424 8032 11136 12048 12288 14558 14848 16064 21837 22272 24096 29116 29696 32128 43674 44544 48192 58232 59392 64256 87348 89088 96384 116464 118784 128512 174696 178176 192768 232928 257024 349392 356352 385536 465856 514048 698784 771072 931712 1028096 1397568 1542144 1863424 2795136 3084288 3726848 5590272 7453696 11180544 14907392 22361088 29814784 44722176 89444352