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97982772 = 223193131373
BaseRepresentation
bin1011101011100…
…01100100110100
320211101001002120
411311301210310
5200040422042
613420035540
72266561026
oct565614464
9224331076
1097982772
11503439a8
1228992bb0
13173b8594
14d028016
158906dec
hex5d71934

97982772 has 48 divisors (see below), whose sum is σ = 241604160. Its totient is φ = 30820608.

The previous prime is 97982711. The next prime is 97982777. The reversal of 97982772 is 27728979.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97982777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70678 + ... + 72050.

It is an arithmetic number, because the mean of its divisors is an integer number (5033420).

Almost surely, 297982772 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 97982772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120802080).

97982772 is an abundant number, since it is smaller than the sum of its proper divisors (143621388).

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

97982772 is a wasteful number, since it uses less digits than its factorization.

97982772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1710 counting only the distinct ones).

The product of its digits is 889056, while the sum is 51.

The square root of 97982772 is about 9898.6247529644. The cubic root of 97982772 is about 461.0166110932.

The spelling of 97982772 in words is "ninety-seven million, nine hundred eighty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 313 626 939 1252 1373 1878 2746 3756 4119 5492 5947 8238 11894 16476 17841 23788 26087 35682 52174 71364 78261 104348 156522 313044 429749 859498 1289247 1718996 2578494 5156988 8165231 16330462 24495693 32660924 48991386 97982772