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97050312 = 2338432
BaseRepresentation
bin1011100100011…
…01111011001000
320202121200000000
411302031323020
5144321102222
613344043000
72255625342
oct562157310
9222550000
1097050312
114a867377
1228603460
1317150028
14cc64292
1587c09ac
hex5c8dec8

97050312 has 108 divisors (see below), whose sum is σ = 279435195. Its totient is φ = 31597776.

The previous prime is 97050311. The next prime is 97050313. The reversal of 97050312 is 21305079.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (97050311) and next prime (97050313).

It can be written as a sum of positive squares in only one way, i.e., 48525156 + 48525156 = 6966^2 + 6966^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6966.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (97050311) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2256963 + ... + 2257005.

Almost surely, 297050312 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 97050312

97050312 is an abundant number, since it is smaller than the sum of its proper divisors (182384883).

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

97050312 is an frugal number, since it uses more digits than its factorization.

97050312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 97050312 is about 9851.4116754910. The cubic root of 97050312 is about 459.5495148686.

The spelling of 97050312 in words is "ninety-seven million, fifty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 243 258 324 344 387 486 516 648 729 774 972 1032 1161 1458 1548 1849 1944 2187 2322 2916 3096 3483 3698 4374 4644 5547 5832 6561 6966 7396 8748 9288 10449 11094 13122 13932 14792 16641 17496 20898 22188 26244 27864 31347 33282 41796 44376 49923 52488 62694 66564 83592 94041 99846 125388 133128 149769 188082 199692 250776 282123 299538 376164 399384 449307 564246 599076 752328 898614 1128492 1198152 1347921 1797228 2256984 2695842 3594456 4043763 5391684 8087526 10783368 12131289 16175052 24262578 32350104 48525156 97050312