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97057268 = 227111811741
BaseRepresentation
bin1011100100011…
…11100111110100
320202122000112122
411302033213310
5144321313033
613344135112
72255654540
oct562174764
9222560478
1097057268
114a871620
1228607498
1317153249
14cc66a20
1587c2a98
hex5c8f9f4

97057268 has 48 divisors (see below), whose sum is σ = 213053568. Its totient is φ = 37584000.

The previous prime is 97057237. The next prime is 97057297. The reversal of 97057268 is 86275079.

It is a super-2 number, since 2×970572682 = 18840226543247648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54878 + ... + 56618.

It is an arithmetic number, because the mean of its divisors is an integer number (4438616).

Almost surely, 297057268 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 97057268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106526784).

97057268 is an abundant number, since it is smaller than the sum of its proper divisors (115996300).

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

97057268 is a wasteful number, since it uses less digits than its factorization.

97057268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 97057268 is about 9851.7647150143. The cubic root of 97057268 is about 459.5604938821.

The spelling of 97057268 in words is "ninety-seven million, fifty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 181 308 362 724 1267 1741 1991 2534 3482 3982 5068 6964 7964 12187 13937 19151 24374 27874 38302 48748 55748 76604 134057 268114 315121 536228 630242 1260484 2205847 3466331 4411694 6932662 8823388 13865324 24264317 48528634 97057268