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2505394248 = 2337671032161
BaseRepresentation
bin1001010101010101…
…0100100001001000
320110121100012210120
42111111110201020
520112340103443
61052335143240
7116041333260
oct22525244110
96417305716
102505394248
111076258865
1259b074b20
1330c09a806
1419aa567a0
15e9e44083
hex95554848

2505394248 has 128 divisors (see below), whose sum is σ = 7339038720. Its totient is φ = 697973760.

The previous prime is 2505394211. The next prime is 2505394273. The reversal of 2505394248 is 8424935052.

It is a super-2 number, since 2×25053942482 = 12554000675822971008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1158288 + ... + 1160448.

It is an arithmetic number, because the mean of its divisors is an integer number (57336240).

Almost surely, 22505394248 is an apocalyptic number.

2505394248 is a gapful number since it is divisible by the number (28) 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 2505394248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669519360).

2505394248 is an abundant number, since it is smaller than the sum of its proper divisors (4833644472).

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

2505394248 is a wasteful number, since it uses less digits than its factorization.

2505394248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 2505394248 is about 50053.9134134385. The cubic root of 2505394248 is about 1358.1842565122.

The spelling of 2505394248 in words is "two billion, five hundred five million, three hundred ninety-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 103 134 168 201 206 268 309 402 412 469 536 618 721 804 824 938 1236 1407 1442 1608 1876 2161 2163 2472 2814 2884 3752 4322 4326 5628 5768 6483 6901 8644 8652 11256 12966 13802 15127 17288 17304 20703 25932 27604 30254 41406 45381 48307 51864 55208 60508 82812 90762 96614 121016 144787 144921 165624 181524 193228 222583 289574 289842 363048 386456 434361 445166 579148 579684 667749 868722 890332 1013509 1158296 1159368 1335498 1558081 1737444 1780664 2027018 2670996 3040527 3116162 3474888 4054036 4674243 5341992 6081054 6232324 8108072 9348486 12162108 12464648 14913061 18696972 24324216 29826122 37393944 44739183 59652244 89478366 104391427 119304488 178956732 208782854 313174281 357913464 417565708 626348562 835131416 1252697124 2505394248