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97484016 = 2437476173
BaseRepresentation
bin1011100111101…
…11110011110000
320210102200221010
411303313303300
5144423442031
613401230520
72262412650
oct563676360
9223380833
1097484016
1150033203
1228792440
1317272566
14cd38360
158859246
hex5cf7cf0

97484016 has 80 divisors (see below), whose sum is σ = 293981184. Its totient is φ = 27255552.

The previous prime is 97483999. The next prime is 97484017. The reversal of 97484016 is 61048479.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97484017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12706 + ... + 18878.

Almost surely, 297484016 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 97484016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146990592).

97484016 is an abundant number, since it is smaller than the sum of its proper divisors (196497168).

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

97484016 is a wasteful number, since it uses less digits than its factorization.

97484016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6238 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 97484016 is about 9873.3994145887. The cubic root of 97484016 is about 460.2330514106.

The spelling of 97484016 in words is "ninety-seven million, four hundred eighty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1974 2256 2632 3948 5264 6173 7896 12346 15792 18519 24692 37038 43211 49384 74076 86422 98768 129633 148152 172844 259266 290131 296304 345688 518532 580262 691376 870393 1037064 1160524 1740786 2030917 2074128 2321048 3481572 4061834 4642096 6092751 6963144 8123668 12185502 13926288 16247336 24371004 32494672 48742008 97484016