Search a number
-
+
97717048 = 231113229373
BaseRepresentation
bin1011101001100…
…00101100111000
320210212112120221
411310300230320
5200003421143
613410225424
72264403232
oct564605470
9223775527
1097717048
11501822a0
1228885274
1317324650
14cd99252
1588a32ed
hex5d30b38

97717048 has 64 divisors (see below), whose sum is σ = 216770400. Its totient is φ = 40711680.

The previous prime is 97716977. The next prime is 97717049. The reversal of 97717048 is 84071779.

It is a junction number, because it is equal to n+sod(n) for n = 97716995 and 97717013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97717049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261790 + ... + 262162.

Almost surely, 297717048 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 97717048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108385200).

97717048 is an abundant number, since it is smaller than the sum of its proper divisors (119053352).

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

97717048 is a wasteful number, since it uses less digits than its factorization.

97717048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 43.

The square root of 97717048 is about 9885.1933719073. The cubic root of 97717048 is about 460.5994830502.

The spelling of 97717048 in words is "ninety-seven million, seven hundred seventeen thousand, forty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 229 286 373 458 572 746 916 1144 1492 1832 2519 2977 2984 4103 4849 5038 5954 8206 9698 10076 11908 16412 19396 20152 23816 32747 32824 38792 53339 65494 85417 106678 130988 170834 213356 261976 341668 426712 683336 939587 1110421 1879174 2220842 3758348 4441684 7516696 8883368 12214631 24429262 48858524 97717048