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97089408 = 2733132161
BaseRepresentation
bin1011100100101…
…11011110000000
320202200122122000
411302113132000
5144323330113
613344544000
72256150333
oct562273600
9222618560
1097089408
114a893789
1228622000
1317164a70
14cc7461a
1587cc373
hex5c97780

97089408 has 128 divisors (see below), whose sum is σ = 308733600. Its totient is φ = 29859840.

The previous prime is 97089407. The next prime is 97089409. The reversal of 97089408 is 80498079.

It is an interprime number because it is at equal distance from previous prime (97089407) and next prime (97089409).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97089403) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43848 + ... + 46008.

Almost surely, 297089408 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 97089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154366800).

97089408 is an abundant number, since it is smaller than the sum of its proper divisors (211644192).

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

97089408 is a wasteful number, since it uses less digits than its factorization.

97089408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 97089408 is about 9853.3957598383. The cubic root of 97089408 is about 459.6112152912.

The spelling of 97089408 in words is "ninety-seven million, eighty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2161 2496 2808 3456 3744 4322 4992 5616 6483 7488 8644 11232 12966 14976 17288 19449 22464 25932 28093 34576 38898 44928 51864 56186 58347 69152 77796 84279 103728 112372 116694 138304 155592 168558 207456 224744 233388 252837 276608 311184 337116 414912 449488 466776 505674 622368 674232 758511 829824 898976 933552 1011348 1244736 1348464 1517022 1797952 1867104 2022696 2489472 2696928 3034044 3595904 3734208 4045392 5393856 6068088 7468416 8090784 10787712 12136176 16181568 24272352 32363136 48544704 97089408