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89439552 = 263971
BaseRepresentation
bin1010101010010…
…11110101000000
320020022000000000
411111023311000
5140344031202
612513000000
72134136466
oct525136500
9206260000
1089439552
1146539294
1225b53000
13156b6b17
14bc42836
157cba91c
hex554bd40

89439552 has 140 divisors (see below), whose sum is σ = 269967456. Its totient is φ = 29393280.

The previous prime is 89439547. The next prime is 89439563. The reversal of 89439552 is 25593498.

89439552 is a `hidden beast` number, since 8 + 94 + 3 + 9 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 89439498 and 89439507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1259677 + ... + 1259747.

Almost surely, 289439552 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 89439552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134983728).

89439552 is an abundant number, since it is smaller than the sum of its proper divisors (180527904).

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

89439552 is an frugal number, since it uses more digits than its factorization.

89439552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 89439552 is about 9457.2486485235. The cubic root of 89439552 is about 447.2083169377.

The spelling of 89439552 in words is "eighty-nine million, four hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 81 96 108 142 144 162 192 213 216 243 284 288 324 426 432 486 568 576 639 648 729 852 864 972 1136 1278 1296 1458 1704 1728 1917 1944 2187 2272 2556 2592 2916 3408 3834 3888 4374 4544 5112 5184 5751 5832 6561 6816 7668 7776 8748 10224 11502 11664 13122 13632 15336 15552 17253 17496 19683 20448 23004 23328 26244 30672 34506 34992 39366 40896 46008 46656 51759 52488 61344 69012 69984 78732 92016 103518 104976 122688 138024 139968 155277 157464 184032 207036 209952 276048 310554 314928 368064 414072 419904 465831 552096 621108 629856 828144 931662 1104192 1242216 1259712 1397493 1656288 1863324 2484432 2794986 3312576 3726648 4968864 5589972 7453296 9937728 11179944 14906592 22359888 29813184 44719776 89439552