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2497248 = 2532132329
BaseRepresentation
bin1001100001101011100000
311200212120200
421201223200
51114402443
6125305200
730140415
oct11415340
94625520
102497248
111456246
12a05200
13695880
1449010c
15344dd3
hex261ae0

2497248 has 144 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 709632.

The previous prime is 2497217. The next prime is 2497259. The reversal of 2497248 is 8427942.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 211 + 46 + 93 + 7 + 217 + 49 + 87 .

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, 86098 + ... + 86126.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

22497248 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 2497248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

2497248 is an abundant number, since it is smaller than the sum of its proper divisors (5758272).

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

2497248 is a wasteful number, since it uses less digits than its factorization.

2497248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 70 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2497248 is about 1580.2683316450. The cubic root of 2497248 is about 135.6710620299.

The spelling of 2497248 in words is "two million, four hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 29 32 36 39 46 48 52 58 69 72 78 87 92 96 104 116 117 138 144 156 174 184 207 208 232 234 261 276 288 299 312 348 368 377 414 416 464 468 522 552 598 624 667 696 736 754 828 897 928 936 1044 1104 1131 1196 1248 1334 1392 1508 1656 1794 1872 2001 2088 2208 2262 2392 2668 2691 2784 3016 3312 3393 3588 3744 4002 4176 4524 4784 5336 5382 6003 6032 6624 6786 7176 8004 8352 8671 9048 9568 10672 10764 12006 12064 13572 14352 16008 17342 18096 21344 21528 24012 26013 27144 28704 32016 34684 36192 43056 48024 52026 54288 64032 69368 78039 86112 96048 104052 108576 138736 156078 192096 208104 277472 312156 416208 624312 832416 1248624 2497248