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97373328 = 243131943191
BaseRepresentation
bin1011100110111…
…00110010010000
320210020002002120
411303130302100
5144411421303
613355014240
72261442153
oct563346220
9223202076
1097373328
114aa68028
122873a380
1317234070
14cd09c9a
158836553
hex5cdcc90

97373328 has 160 divisors (see below), whose sum is σ = 293314560. Its totient is φ = 27578880.

The previous prime is 97373323. The next prime is 97373333. The reversal of 97373328 is 82337379.

It is an interprime number because it is at equal distance from previous prime (97373323) and next prime (97373333).

It is a self number, because there is not a number n which added to its sum of digits gives 97373328.

It is not an unprimeable number, because it can be changed into a prime (97373323) 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 31 ways as a sum of consecutive naturals, for example, 509713 + ... + 509903.

It is an arithmetic number, because the mean of its divisors is an integer number (1833216).

Almost surely, 297373328 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 97373328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146657280).

97373328 is an abundant number, since it is smaller than the sum of its proper divisors (195941232).

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

97373328 is a wasteful number, since it uses less digits than its factorization.

97373328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 97373328 is about 9867.7924582958. The cubic root of 97373328 is about 460.0587952572.

The spelling of 97373328 in words is "ninety-seven million, three hundred seventy-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 43 48 52 57 76 78 86 104 114 129 152 156 172 191 208 228 247 258 304 312 344 382 456 494 516 559 573 624 688 741 764 817 912 988 1032 1118 1146 1482 1528 1634 1677 1976 2064 2236 2292 2451 2483 2964 3056 3268 3354 3629 3952 4472 4584 4902 4966 5928 6536 6708 7258 7449 8213 8944 9168 9804 9932 10621 10887 11856 13072 13416 14516 14898 16426 19608 19864 21242 21774 24639 26832 29032 29796 31863 32852 39216 39728 42484 43548 47177 49278 58064 59592 63726 65704 84968 87096 94354 98556 106769 119184 127452 131408 141531 156047 169936 174192 188708 197112 213538 254904 283062 312094 320307 377416 394224 427076 468141 509808 566124 624188 640614 754832 854152 936282 1132248 1248376 1281228 1708304 1872564 2028611 2264496 2496752 2562456 3745128 4057222 5124912 6085833 7490256 8114444 12171666 16228888 24343332 32457776 48686664 97373328