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97339392 = 211325281
BaseRepresentation
bin1011100110101…
…00100000000000
320210011100112200
411303110200000
5144404330032
613354153200
72261241213
oct563244000
9223140480
1097339392
114aa44587
1228722800
1317221797
14ccdb77a
15882b47c
hex5cd4800

97339392 has 72 divisors (see below), whose sum is σ = 281187270. Its totient is φ = 32440320.

The previous prime is 97339387. The next prime is 97339421. The reversal of 97339392 is 29393379.

It can be written as a sum of positive squares in only one way, i.e., 94012416 + 3326976 = 9696^2 + 1824^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15792 + ... + 21072.

Almost surely, 297339392 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 97339392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140593635).

97339392 is an abundant number, since it is smaller than the sum of its proper divisors (183847878).

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

97339392 is a wasteful number, since it uses less digits than its factorization.

97339392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5309 (or 5286 counting only the distinct ones).

The product of its digits is 275562, while the sum is 45.

The square root of 97339392 is about 9866.0727749191. The cubic root of 97339392 is about 460.0053433532.

The spelling of 97339392 in words is "ninety-seven million, three hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 5281 6144 9216 10562 15843 18432 21124 31686 42248 47529 63372 84496 95058 126744 168992 190116 253488 337984 380232 506976 675968 760464 1013952 1351936 1520928 2027904 2703872 3041856 4055808 5407744 6083712 8111616 10815488 12167424 16223232 24334848 32446464 48669696 97339392