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97032500 = 2254371049
BaseRepresentation
bin1011100100010…
…01100100110100
320202120202120022
411302021210310
5144320020000
613343424312
72255522405
oct562114464
9222522508
1097032500
114a854a54
12285b5098
1317144ba6
14cc5b9ac
1587ba585
hex5c89934

97032500 has 60 divisors (see below), whose sum is σ = 218133300. Its totient is φ = 37728000.

The previous prime is 97032491. The next prime is 97032539. The reversal of 97032500 is 523079.

It can be written as a sum of positive squares in 10 ways, for example, as 31292836 + 65739664 = 5594^2 + 8108^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 97032500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91976 + ... + 93024.

It is an arithmetic number, because the mean of its divisors is an integer number (3635555).

Almost surely, 297032500 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 97032500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109066650).

97032500 is an abundant number, since it is smaller than the sum of its proper divisors (121100800).

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

97032500 is a wasteful number, since it uses less digits than its factorization.

97032500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 97032500 is about 9850.5076011341. The cubic root of 97032500 is about 459.5213988786.

Adding to 97032500 its reverse (523079), we get a palindrome (97555579).

The spelling of 97032500 in words is "ninety-seven million, thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 370 500 625 740 925 1049 1250 1850 2098 2500 3700 4196 4625 5245 9250 10490 18500 20980 23125 26225 38813 46250 52450 77626 92500 104900 131125 155252 194065 262250 388130 524500 655625 776260 970325 1311250 1940650 2622500 3881300 4851625 9703250 19406500 24258125 48516250 97032500