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89557272 = 2333761971
BaseRepresentation
bin1010101011010…
…00100100011000
320020111222111000
411111220210120
5140411313042
612515305000
72135136630
oct525504430
9206458430
1089557272
1146609782
1225bab160
131572858c
14bc736c0
157ce074c
hex5568918

89557272 has 128 divisors (see below), whose sum is σ = 289267200. Its totient is φ = 25142400.

The previous prime is 89557271. The next prime is 89557277. The reversal of 89557272 is 27275598.

It is a happy number.

89557272 is a `hidden beast` number, since 8 + 9 + 5 + 572 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89557271) 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 31 ways as a sum of consecutive naturals, for example, 91747 + ... + 92717.

It is an arithmetic number, because the mean of its divisors is an integer number (2259900).

Almost surely, 289557272 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 89557272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144633600).

89557272 is an abundant number, since it is smaller than the sum of its proper divisors (199709928).

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

89557272 is a wasteful number, since it uses less digits than its factorization.

89557272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1044 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 89557272 is about 9463.4703993831. The cubic root of 89557272 is about 447.4044355510.

The spelling of 89557272 in words is "eighty-nine million, five hundred fifty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 61 63 72 84 108 122 126 168 183 189 216 244 252 366 378 427 488 504 549 732 756 854 971 1098 1281 1464 1512 1647 1708 1942 2196 2562 2913 3294 3416 3843 3884 4392 5124 5826 6588 6797 7686 7768 8739 10248 11529 11652 13176 13594 15372 17478 20391 23058 23304 26217 27188 30744 34956 40782 46116 52434 54376 59231 61173 69912 81564 92232 104868 118462 122346 163128 177693 183519 209736 236924 244692 355386 367038 414617 473848 489384 533079 710772 734076 829234 1066158 1243851 1421544 1468152 1599237 1658468 2132316 2487702 3198474 3316936 3731553 4264632 4975404 6396948 7463106 9950808 11194659 12793896 14926212 22389318 29852424 44778636 89557272