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97249284 = 2232112411019
BaseRepresentation
bin1011100101111…
…10100000000100
320202222202221100
411302332200010
5144343434114
613352220100
72260414416
oct562764004
9222882840
1097249284
114a992910
122869a630
13171bc772
14ccb69b6
15880e909
hex5cbe804

97249284 has 72 divisors (see below), whose sum is σ = 269549280. Its totient is φ = 29318400.

The previous prime is 97249279. The next prime is 97249301. The reversal of 97249284 is 48294279.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94927 + ... + 95945.

It is an arithmetic number, because the mean of its divisors is an integer number (3743740).

Almost surely, 297249284 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 97249284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134774640).

97249284 is an abundant number, since it is smaller than the sum of its proper divisors (172299996).

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

97249284 is a wasteful number, since it uses less digits than its factorization.

97249284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1276 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 97249284 is about 9861.5051589501. The cubic root of 97249284 is about 459.8633557588.

The spelling of 97249284 in words is "ninety-seven million, two hundred forty-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 241 396 482 723 964 1019 1446 2038 2169 2651 2892 3057 4076 4338 5302 6114 7953 8676 9171 10604 11209 12228 15906 18342 22418 23859 31812 33627 36684 44836 47718 67254 95436 100881 134508 201762 245579 403524 491158 736737 982316 1473474 2210211 2701369 2946948 4420422 5402738 8104107 8840844 10805476 16208214 24312321 32416428 48624642 97249284