Search a number
-
+
97552 = 2471367
BaseRepresentation
bin10111110100010000
311221211001
4113310100
511110202
62031344
7554260
oct276420
9157731
1097552
1167324
1248554
1335530
14277a0
151dd87
hex17d10

97552 has 40 divisors (see below), whose sum is σ = 236096. Its totient is φ = 38016.

The previous prime is 97549. The next prime is 97553. The reversal of 97552 is 25579.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 97552.

It is not an unprimeable number, because it can be changed into a prime (97553) 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, 1423 + ... + 1489.

297552 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 97552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118048).

97552 is an abundant number, since it is smaller than the sum of its proper divisors (138544).

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

97552 is a wasteful number, since it uses less digits than its factorization.

97552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

The product of its digits is 3150, while the sum is 28.

The square root of 97552 is about 312.3331554606. Note that the first 3 decimals coincide. The cubic root of 97552 is about 46.0340013264.

The spelling of 97552 in words is "ninety-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 67 91 104 112 134 182 208 268 364 469 536 728 871 938 1072 1456 1742 1876 3484 3752 6097 6968 7504 12194 13936 24388 48776 97552