Search a number
-
+
97064416 = 2523433067
BaseRepresentation
bin1011100100100…
…01010111100000
320202122101100101
411302101113200
5144322030131
613344232144
72256014431
oct562212740
9222571311
1097064416
114a876a29
122860b654
1317156587
14cc69488
1587c4c61
hex5c915e0

97064416 has 48 divisors (see below), whose sum is σ = 204107904. Its totient is φ = 45327744.

The previous prime is 97064389. The next prime is 97064453. The reversal of 97064416 is 61446079.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30115 + ... + 33181.

It is an arithmetic number, because the mean of its divisors is an integer number (4252248).

Almost surely, 297064416 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 97064416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102053952).

97064416 is an abundant number, since it is smaller than the sum of its proper divisors (107043488).

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

97064416 is a wasteful number, since it uses less digits than its factorization.

97064416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 97064416 is about 9852.1274859799. The cubic root of 97064416 is about 459.5717753926.

The spelling of 97064416 in words is "ninety-seven million, sixty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 32 43 46 86 92 172 184 344 368 688 736 989 1376 1978 3067 3956 6134 7912 12268 15824 24536 31648 49072 70541 98144 131881 141082 263762 282164 527524 564328 1055048 1128656 2110096 2257312 3033263 4220192 6066526 12133052 24266104 48532208 97064416