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97386016 = 2571353631
BaseRepresentation
bin1011100110111…
…11111000100000
320210020201111111
411303133320200
5144412323031
613355153104
72261524150
oct563377040
9223221444
1097386016
114aa76612
1228745794
1317239a80
14cd10760
15883a1b1
hex5cdfe20

97386016 has 96 divisors (see below), whose sum is σ = 240807168. Its totient is φ = 37739520.

The previous prime is 97386011. The next prime is 97386017. The reversal of 97386016 is 61068379.

It is a super-2 number, since 2×973860162 = 18968072224704512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 97386016.

It is not an unprimeable number, because it can be changed into a prime (97386011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154021 + ... + 154651.

It is an arithmetic number, because the mean of its divisors is an integer number (2508408).

Almost surely, 297386016 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 97386016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120403584).

97386016 is an abundant number, since it is smaller than the sum of its proper divisors (143421152).

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

97386016 is a wasteful number, since it uses less digits than its factorization.

97386016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 97386016 is about 9868.4353369721. The cubic root of 97386016 is about 460.0787766786.

The spelling of 97386016 in words is "ninety-seven million, three hundred eighty-six thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 53 56 91 104 106 112 182 208 212 224 364 371 416 424 631 689 728 742 848 1262 1378 1456 1484 1696 2524 2756 2912 2968 4417 4823 5048 5512 5936 8203 8834 9646 10096 11024 11872 16406 17668 19292 20192 22048 32812 33443 35336 38584 57421 65624 66886 70672 77168 114842 131248 133772 141344 154336 229684 234101 262496 267544 434759 459368 468202 535088 869518 918736 936404 1070176 1739036 1837472 1872808 3043313 3478072 3745616 6086626 6956144 7491232 12173252 13912288 24346504 48693008 97386016