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97417684 = 227213217173
BaseRepresentation
bin1011100111001…
…11100111010100
320210022022221101
411303213213110
5144414331214
613355555444
72262015400
oct563474724
9223268841
1097417684
114aa98391
122875bb84
131724b300
14cd1c100
158844774
hex5ce79d4

97417684 has 108 divisors (see below), whose sum is σ = 228689244. Its totient is φ = 36062208.

The previous prime is 97417669. The next prime is 97417703. The reversal of 97417684 is 48671479.

It can be written as a sum of positive squares in 6 ways, for example, as 784 + 97416900 = 28^2 + 9870^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 563022 + ... + 563194.

It is an arithmetic number, because the mean of its divisors is an integer number (2117493).

Almost surely, 297417684 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 97417684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114344622).

97417684 is an abundant number, since it is smaller than the sum of its proper divisors (131271560).

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

97417684 is a wasteful number, since it uses less digits than its factorization.

97417684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 212 counting only the distinct ones).

The product of its digits is 338688, while the sum is 46.

The square root of 97417684 is about 9870.0397162321. The cubic root of 97417684 is about 460.1286407703.

The spelling of 97417684 in words is "ninety-seven million, four hundred seventeen thousand, six hundred eighty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 169 173 182 196 221 238 338 346 364 442 476 637 676 692 833 884 1183 1211 1274 1547 1666 2249 2366 2422 2548 2873 2941 3094 3332 4498 4732 4844 5746 5882 6188 8281 8477 8996 10829 11492 11764 15743 16562 16954 20111 20587 21658 29237 31486 33124 33908 38233 40222 41174 43316 58474 62972 76466 80444 82348 110201 116948 140777 144109 152932 204659 220402 267631 281554 288218 409318 440804 497029 535262 563108 576436 818636 994058 1070524 1432613 1873417 1988116 2865226 3479203 3746834 5730452 6958406 7493668 13916812 24354421 48708842 97417684