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97097268 = 223174311069
BaseRepresentation
bin1011100100110…
…01011000110100
320202201001102010
411302121120310
5144324103033
613345044220
72256212262
oct562313064
9222631363
1097097268
114a899684
1228626670
1317168508
14cc77432
1587ce863
hex5c99634

97097268 has 48 divisors (see below), whose sum is σ = 245488320. Its totient is φ = 29750784.

The previous prime is 97097267. The next prime is 97097281. The reversal of 97097268 is 86279079.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97097261) 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, 3238 + ... + 14306.

It is an arithmetic number, because the mean of its divisors is an integer number (5114340).

Almost surely, 297097268 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 97097268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122744160).

97097268 is an abundant number, since it is smaller than the sum of its proper divisors (148391052).

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

97097268 is a wasteful number, since it uses less digits than its factorization.

97097268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11136 (or 11134 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 97097268 is about 9853.7945990365. The cubic root of 97097268 is about 459.6236177655.

The spelling of 97097268 in words is "ninety-seven million, ninety-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 516 731 1462 2193 2924 4386 8772 11069 22138 33207 44276 66414 132828 188173 376346 475967 564519 752692 951934 1129038 1427901 1903868 2258076 2855802 5711604 8091439 16182878 24274317 32365756 48548634 97097268