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2508152868 = 22321317367859
BaseRepresentation
bin1001010101111111…
…0110000000100100
320110210112100220200
42111133312000210
520114041342433
61052514230500
7116103643014
oct22537660044
96423470820
102508152868
111077872411
1259bb85430
1330c825330
1419b173c44
15ea2db613
hex957f6024

2508152868 has 144 divisors (see below), whose sum is σ = 7257519360. Its totient is φ = 723520512.

The previous prime is 2508152863. The next prime is 2508152869. The reversal of 2508152868 is 8682518052.

It is not an unprimeable number, because it can be changed into a prime (2508152861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2919423 + ... + 2920281.

It is an arithmetic number, because the mean of its divisors is an integer number (50399440).

Almost surely, 22508152868 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 2508152868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628759680).

2508152868 is an abundant number, since it is smaller than the sum of its proper divisors (4749366492).

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

2508152868 is a wasteful number, since it uses less digits than its factorization.

2508152868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 2508152868 is about 50081.4623189060. The cubic root of 2508152868 is about 1358.6825599845.

The spelling of 2508152868 in words is "two billion, five hundred eight million, one hundred fifty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 367 442 468 612 663 734 859 884 1101 1326 1468 1718 1989 2202 2577 2652 3303 3436 3978 4404 4771 5154 6239 6606 7731 7956 9542 10308 11167 12478 13212 14313 14603 15462 18717 19084 22334 24956 28626 29206 30924 33501 37434 42939 43809 44668 56151 57252 58412 67002 74868 81107 85878 87618 100503 112302 131427 134004 162214 171756 175236 189839 201006 224604 243321 262854 315253 324428 379678 402012 486642 525708 569517 630506 729963 759356 945759 973284 1139034 1261012 1459926 1708551 1891518 2278068 2837277 2919852 3417102 3783036 4098289 5359301 5674554 6834204 8196578 10718602 11349108 12294867 16077903 16393156 21437204 24589734 32155806 36884601 48233709 49179468 64311612 69670913 73769202 96467418 139341826 147538404 192934836 209012739 278683652 418025478 627038217 836050956 1254076434 2508152868