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2308939248 = 2437111274919
BaseRepresentation
bin1000100110011111…
…1001110111110000
312221220200021012110
42021213321313300
514212042023443
61021040325320
7111134442210
oct21147716760
95856607173
102308939248
11a85377260
12545313840
132aa484c55
1417c918240
15d7a8a233
hex899f9df0

2308939248 has 160 divisors (see below), whose sum is σ = 7496663040. Its totient is φ = 594881280.

The previous prime is 2308939247. The next prime is 2308939279. The reversal of 2308939248 is 8429398032.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2308939197 and 2308939206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2308939247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466933 + ... + 471851.

It is an arithmetic number, because the mean of its divisors is an integer number (46854144).

Almost surely, 22308939248 is an apocalyptic number.

2308939248 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 2308939248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748331520).

2308939248 is an abundant number, since it is smaller than the sum of its proper divisors (5187723792).

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

2308939248 is a wasteful number, since it uses less digits than its factorization.

2308939248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5075 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 2308939248 is about 48051.4229549969. The cubic root of 2308939248 is about 1321.7140359665.

The spelling of 2308939248 in words is "two billion, three hundred eight million, nine hundred thirty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 127 132 154 168 176 231 254 264 308 336 381 462 508 528 616 762 889 924 1016 1232 1397 1524 1778 1848 2032 2667 2794 3048 3556 3696 4191 4919 5334 5588 6096 7112 8382 9779 9838 10668 11176 14224 14757 16764 19558 19676 21336 22352 29337 29514 33528 34433 39116 39352 42672 54109 58674 59028 67056 68866 78232 78704 103299 108218 117348 118056 137732 156464 162327 206598 216436 234696 236112 275464 324654 378763 413196 432872 469392 550928 624713 649308 757526 826392 865744 1136289 1249426 1298616 1515052 1652784 1874139 2272578 2498852 2597232 3030104 3748278 4372991 4545156 4997704 6060208 6871843 7496556 8745982 9090312 9995408 13118973 13743686 14993112 17491964 18180624 20615529 26237946 27487372 29986224 34983928 41231058 48102901 52475892 54974744 69967856 82462116 96205802 104951784 109949488 144308703 164924232 192411604 209903568 288617406 329848464 384823208 577234812 769646416 1154469624 2308939248