Search a number
-
+
97958240 = 2553716547
BaseRepresentation
bin1011101011010…
…11100101100000
320211022210102222
411311223211200
5200034130430
613415330212
72266426352
oct565534540
9224283388
1097958240
1150327526
1228980968
13173aa373
14d01d0d2
1588ee9e5
hex5d6b960

97958240 has 48 divisors (see below), whose sum is σ = 237695472. Its totient is φ = 38121984.

The previous prime is 97958207. The next prime is 97958249. The reversal of 97958240 is 4285979.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 97958191 and 97958200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97958249) 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, 2354 + ... + 14193.

It is an arithmetic number, because the mean of its divisors is an integer number (4951989).

Almost surely, 297958240 is an apocalyptic number.

It is an amenable number.

97958240 is an abundant number, since it is smaller than the sum of its proper divisors (139737232).

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

97958240 is a wasteful number, since it uses less digits than its factorization.

97958240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16599 (or 16591 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 97958240 is about 9897.3855133565. The cubic root of 97958240 is about 460.9781328884.

The spelling of 97958240 in words is "ninety-seven million, nine hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 16547 33094 66188 82735 132376 165470 264752 330940 529504 612239 661880 1224478 1323760 2448956 2647520 3061195 4897912 6122390 9795824 12244780 19591648 24489560 48979120 97958240