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97298496 = 26341372
BaseRepresentation
bin1011100110010…
…10100001000000
320210002021110000
411303022201000
5144402022441
613353240000
72261011041
oct563124100
9223067400
1097298496
114aa16889
1228703000
1317208c99
14ccca8c8
15881e2b6
hex5cca840

97298496 has 105 divisors (see below), whose sum is σ = 290543869. Its totient is φ = 32196096.

The previous prime is 97298483. The next prime is 97298501. The reversal of 97298496 is 69489279.

The square root of 97298496 is 9864.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 57153600 + 40144896 = 7560^2 + 6336^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 710140 + ... + 710276.

Almost surely, 297298496 is an apocalyptic number.

97298496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

97298496 is the 9864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97298496

97298496 is an abundant number, since it is smaller than the sum of its proper divisors (193245373).

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

97298496 is an equidigital number, since it uses as much as digits as its factorization.

97298496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 142 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The cubic root of 97298496 is about 459.9409123852.

It can be divided in two parts, 9729 and 8496, that added together give a square (18225 = 1352).

The spelling of 97298496 in words is "ninety-seven million, two hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 137 144 162 192 216 274 288 324 411 432 548 576 648 822 864 1096 1233 1296 1644 1728 2192 2466 2592 3288 3699 4384 4932 5184 6576 7398 8768 9864 11097 13152 14796 18769 19728 22194 26304 29592 37538 39456 44388 56307 59184 75076 78912 88776 112614 118368 150152 168921 177552 225228 236736 300304 337842 355104 450456 506763 600608 675684 710208 900912 1013526 1201216 1351368 1520289 1801824 2027052 2702736 3040578 3603648 4054104 5405472 6081156 8108208 10810944 12162312 16216416 24324624 32432832 48649248 97298496