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97077816 = 23321131013
BaseRepresentation
bin1011100100101…
…00101000111000
320202200001201200
411302110220320
5144322442231
613344414200
72256101463
oct562245070
9222601650
1097077816
114a886000
1228617360
131715c6c4
14cc702da
1587c8be6
hex5c94a38

97077816 has 96 divisors (see below), whose sum is σ = 289476720. Its totient is φ = 29388480.

The previous prime is 97077797. The next prime is 97077817. The reversal of 97077816 is 61877079.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97077817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95326 + ... + 96338.

Almost surely, 297077816 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 97077816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144738360).

97077816 is an abundant number, since it is smaller than the sum of its proper divisors (192398904).

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

97077816 is a wasteful number, since it uses less digits than its factorization.

97077816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 97077816 is about 9852.8075186720. The cubic root of 97077816 is about 459.5929227869.

The spelling of 97077816 in words is "ninety-seven million, seventy-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1013 1089 1331 1452 2026 2178 2662 2904 3039 3993 4052 4356 5324 6078 7986 8104 8712 9117 10648 11143 11979 12156 15972 18234 22286 23958 24312 31944 33429 36468 44572 47916 66858 72936 89144 95832 100287 122573 133716 200574 245146 267432 367719 401148 490292 735438 802296 980584 1103157 1348303 1470876 2206314 2696606 2941752 4044909 4412628 5393212 8089818 8825256 10786424 12134727 16179636 24269454 32359272 48538908 97077816