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997248 = 2737253
BaseRepresentation
bin11110011011110000000
31212122222010
43303132000
5223402443
633212520
711322300
oct3633600
91778863
10997248
1162127a
12401140
1328bbb5
141bd600
1514a733
hexf3780

997248 has 96 divisors (see below), whose sum is σ = 3139560. Its totient is φ = 279552.

The previous prime is 997247. The next prime is 997259. The reversal of 997248 is 842799.

997248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

Its product of digits (36288) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18790 + ... + 18842.

2997248 is an apocalyptic number.

997248 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569780).

997248 is an abundant number, since it is smaller than the sum of its proper divisors (2142312).

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

997248 is a wasteful number, since it uses less digits than its factorization.

997248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 997248 is about 998.6230520071. The cubic root of 997248 is about 99.9081823877.

Subtracting from 997248 its reverse (842799), we obtain a square (154449 = 3932).

The spelling of 997248 in words is "nine hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 53 56 64 84 96 98 106 112 128 147 159 168 192 196 212 224 294 318 336 371 384 392 424 448 588 636 672 742 784 848 896 1113 1176 1272 1344 1484 1568 1696 2226 2352 2544 2597 2688 2968 3136 3392 4452 4704 5088 5194 5936 6272 6784 7791 8904 9408 10176 10388 11872 15582 17808 18816 20352 20776 23744 31164 35616 41552 47488 62328 71232 83104 124656 142464 166208 249312 332416 498624 997248