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97468208 = 24172931223
BaseRepresentation
bin1011100111100…
…11111100110000
320210101220020122
411303303330300
5144422440313
613401025412
72262315605
oct563637460
9223356218
1097468208
1150022342
1228785268
13172682c6
14cd326ac
158854708
hex5cf3f30

97468208 has 40 divisors (see below), whose sum is σ = 200799648. Its totient is φ = 45673472.

The previous prime is 97468207. The next prime is 97468211. The reversal of 97468208 is 80286479.

It is not an unprimeable number, because it can be changed into a prime (97468207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79085 + ... + 80307.

Almost surely, 297468208 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 97468208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100399824).

97468208 is an abundant number, since it is smaller than the sum of its proper divisors (103331440).

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

97468208 is a wasteful number, since it uses less digits than its factorization.

97468208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 97468208 is about 9872.5988473147. The cubic root of 97468208 is about 460.2081729479.

The spelling of 97468208 in words is "ninety-seven million, four hundred sixty-eight thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 293 586 1172 1223 2344 2446 4688 4892 4981 9784 9962 19568 19924 20791 39848 41582 79696 83164 166328 332656 358339 716678 1433356 2866712 5733424 6091763 12183526 24367052 48734104 97468208