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89718516 = 2235241383
BaseRepresentation
bin1010101100011…
…11111011110100
320020211011200000
411112033323310
5140431443031
612522551300
72136411006
oct526177364
9206734600
1089718516
1146709938
1226068530
1315783aa4
14bcb6376
157d233e6
hex558fef4

89718516 has 72 divisors (see below), whose sum is σ = 236780544. Its totient is φ = 29704320.

The previous prime is 89718509. The next prime is 89718521. The reversal of 89718516 is 61581798.

It is a super-2 number, since 2×897185162 = 16098824226484512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234061 + ... + 234443.

Almost surely, 289718516 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 89718516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118390272).

89718516 is an abundant number, since it is smaller than the sum of its proper divisors (147062028).

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

89718516 is a wasteful number, since it uses less digits than its factorization.

89718516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 89718516 is about 9471.9858530300. The cubic root of 89718516 is about 447.6727853518.

The spelling of 89718516 in words is "eighty-nine million, seven hundred eighteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 241 243 324 383 482 486 723 766 964 972 1149 1446 1532 2169 2298 2892 3447 4338 4596 6507 6894 8676 10341 13014 13788 19521 20682 26028 31023 39042 41364 58563 62046 78084 92303 93069 117126 124092 184606 186138 234252 276909 369212 372276 553818 830727 1107636 1661454 2492181 3322908 4984362 7476543 9968724 14953086 22429629 29906172 44859258 89718516