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9997848 = 2332783239
BaseRepresentation
bin100110001000…
…111000011000
3200210221110200
4212020320120
510024412343
6554142200
7150660150
oct46107030
920727420
109997848
115709593
123421960
1320c08b3
141483760
15d274d3
hex988e18

9997848 has 96 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 2810304.

The previous prime is 9997831. The next prime is 9997859. The reversal of 9997848 is 8487999.

It is a super-2 number, since 2×99978482 = 199913929262208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9997794 and 9997803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41713 + ... + 41951.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 29997848 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 9997848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

9997848 is an abundant number, since it is smaller than the sum of its proper divisors (21451752).

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

9997848 is a wasteful number, since it uses less digits than its factorization.

9997848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 334 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 9997848 is about 3161.9373807841. The cubic root of 9997848 is about 215.4280134163.

The spelling of 9997848 in words is "nine million, nine hundred ninety-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 83 84 126 166 168 239 249 252 332 478 498 504 581 664 717 747 956 996 1162 1434 1494 1673 1743 1912 1992 2151 2324 2868 2988 3346 3486 4302 4648 5019 5229 5736 5976 6692 6972 8604 10038 10458 13384 13944 15057 17208 19837 20076 20916 30114 39674 40152 41832 59511 60228 79348 119022 120456 138859 158696 178533 238044 277718 357066 416577 476088 555436 714132 833154 1110872 1249731 1428264 1666308 2499462 3332616 4998924 9997848