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97749414 = 23272192307
BaseRepresentation
bin1011101001110…
…00100110100110
320210221011222200
411310320212212
5200010440124
613411035330
72264566500
oct564704646
9223834880
1097749414
11501a4644
122889bb46
13173362b9
14cda6d70
1588acbc9
hex5d389a6

97749414 has 108 divisors (see below), whose sum is σ = 260864604. Its totient is φ = 26372304.

The previous prime is 97749383. The next prime is 97749419. The reversal of 97749414 is 41494779.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 97749414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97749419) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 318249 + ... + 318555.

It is an arithmetic number, because the mean of its divisors is an integer number (2415413).

Almost surely, 297749414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97749414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130432302).

97749414 is an abundant number, since it is smaller than the sum of its proper divisors (163115190).

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

97749414 is a wasteful number, since it uses less digits than its factorization.

97749414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 338 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 97749414 is about 9886.8303313044. The cubic root of 97749414 is about 460.6503309406.

The spelling of 97749414 in words is "ninety-seven million, seven hundred forty-nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 307 342 361 399 441 614 722 798 882 921 931 1083 1197 1842 1862 2149 2166 2394 2527 2763 2793 3249 4298 5054 5526 5586 5833 6447 6498 7581 8379 11666 12894 15043 15162 16758 17499 17689 19341 22743 30086 34998 35378 38682 40831 45129 45486 52497 53067 81662 90258 104994 106134 110827 122493 135387 159201 221654 244986 270774 285817 318402 332481 367479 571634 664962 734958 775789 857451 997443 1551578 1714902 1994886 2327367 2572353 4654734 5144706 5430523 6982101 10861046 13964202 16291569 32583138 48874707 97749414