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97256448 = 2103261173
BaseRepresentation
bin1011100110000…
…00010000000000
320210000010202200
411303000100000
5144344201243
613352313200
72260444332
oct563002000
9223003680
1097256448
114a998233
12286a2800
13171c2ac3
14ccb9452
158811ad3
hex5cc0400

97256448 has 132 divisors (see below), whose sum is σ = 287079468. Its totient is φ = 31703040.

The previous prime is 97256447. The next prime is 97256477. The reversal of 97256448 is 84465279.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42614784 + 54641664 = 6528^2 + 7392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97256447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 562090 + ... + 562262.

Almost surely, 297256448 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 97256448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143539734).

97256448 is an abundant number, since it is smaller than the sum of its proper divisors (189823020).

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

97256448 is a wasteful number, since it uses less digits than its factorization.

97256448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 97256448 is about 9861.8683828167. The cubic root of 97256448 is about 459.8746476335.

The spelling of 97256448 in words is "ninety-seven million, two hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 173 183 192 244 256 288 346 366 384 488 512 519 549 576 692 732 768 976 1024 1038 1098 1152 1384 1464 1536 1557 1952 2076 2196 2304 2768 2928 3072 3114 3904 4152 4392 4608 5536 5856 6228 7808 8304 8784 9216 10553 11072 11712 12456 15616 16608 17568 21106 22144 23424 24912 31232 31659 33216 35136 42212 44288 46848 49824 62464 63318 66432 70272 84424 88576 93696 94977 99648 126636 132864 140544 168848 177152 187392 189954 199296 253272 265728 281088 337696 379908 398592 506544 531456 562176 675392 759816 797184 1013088 1350784 1519632 1594368 2026176 2701568 3039264 4052352 5403136 6078528 8104704 10806272 12157056 16209408 24314112 32418816 48628224 97256448