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89623728 = 243217311181
BaseRepresentation
bin1010101011110…
…00110010110000
320020122100122100
411111320302300
5140420424403
612520540400
72135534445
oct525706260
9206570570
1089623728
11466546a7
1226021700
131574c8bc
14bc8d9cc
157d052a3
hex5578cb0

89623728 has 120 divisors (see below), whose sum is σ = 274375296. Its totient is φ = 27187200.

The previous prime is 89623693. The next prime is 89623753. The reversal of 89623728 is 82732698.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75298 + ... + 76478.

Almost surely, 289623728 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 89623728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137187648).

89623728 is an abundant number, since it is smaller than the sum of its proper divisors (184751568).

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

89623728 is a wasteful number, since it uses less digits than its factorization.

89623728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1234 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 89623728 is about 9466.9809337507. The cubic root of 89623728 is about 447.5150737201.

The spelling of 89623728 in words is "eighty-nine million, six hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 62 68 72 93 102 124 136 144 153 186 204 248 272 279 306 372 408 496 527 558 612 744 816 1054 1116 1181 1224 1488 1581 2108 2232 2362 2448 3162 3543 4216 4464 4724 4743 6324 7086 8432 9448 9486 10629 12648 14172 18896 18972 20077 21258 25296 28344 36611 37944 40154 42516 56688 60231 73222 75888 80308 85032 109833 120462 146444 160616 170064 180693 219666 240924 292888 321232 329499 361386 439332 481848 585776 622387 658998 722772 878664 963696 1244774 1317996 1445544 1757328 1867161 2489548 2635992 2891088 3734322 4979096 5271984 5601483 7468644 9958192 11202966 14937288 22405932 29874576 44811864 89623728