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89007552 = 2633192711
BaseRepresentation
bin1010100111000…
…10010111000000
320012111001102000
411103202113000
5140241220202
612455424000
72130360144
oct523422700
9205431360
1089007552
1146273767
1225985000
13155952ba
14bb6d224
157c3291c
hex54e25c0

89007552 has 112 divisors (see below), whose sum is σ = 275539200. Its totient is φ = 28097280.

The previous prime is 89007509. The next prime is 89007559. The reversal of 89007552 is 25570098.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89007559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31477 + ... + 34187.

Almost surely, 289007552 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 89007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137769600).

89007552 is an abundant number, since it is smaller than the sum of its proper divisors (186531648).

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

89007552 is a wasteful number, since it uses less digits than its factorization.

89007552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 89007552 is about 9434.3813787656. The cubic root of 89007552 is about 446.4871375739.

The spelling of 89007552 in words is "eighty-nine million, seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2711 2736 3648 4104 5422 5472 8133 8208 10844 10944 16266 16416 21688 24399 32532 32832 43376 48798 51509 65064 73197 86752 97596 103018 130128 146394 154527 173504 195192 206036 260256 292788 309054 390384 412072 463581 520512 585576 618108 780768 824144 927162 1171152 1236216 1390743 1561536 1648288 1854324 2342304 2472432 2781486 3296576 3708648 4684608 4944864 5562972 7417296 9889728 11125944 14834592 22251888 29669184 44503776 89007552