Search a number
-
+
4748835480 = 23351071632269
BaseRepresentation
bin1000110110000110…
…10111101010011000
3110020221202211121120
410123003113222120
534211200213410
62103120005240
7225452302254
oct43303275230
913227684546
104748835480
112017659424
12b06460820
135a8acc12c
143309a1264
151cbd92570
hex11b0d7a98

4748835480 has 128 divisors (see below), whose sum is σ = 14474246400. Its totient is φ = 1246275072.

The previous prime is 4748835467. The next prime is 4748835523. The reversal of 4748835480 is 845388474.

It is a super-2 number, since 2×47488354802 = 45102876832213660800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 2091786 + ... + 2094054.

It is an arithmetic number, because the mean of its divisors is an integer number (113080050).

Almost surely, 24748835480 is an apocalyptic number.

4748835480 is a gapful number since it is divisible by the number (40) 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 4748835480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7237123200).

4748835480 is an abundant number, since it is smaller than the sum of its proper divisors (9725410920).

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

4748835480 is a wasteful number, since it uses less digits than its factorization.

4748835480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The square root of 4748835480 is about 68911.7949265581. The cubic root of 4748835480 is about 1680.8503206771.

The spelling of 4748835480 in words is "four billion, seven hundred forty-eight million, eight hundred thirty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 163 214 321 326 428 489 535 642 652 815 856 978 1070 1284 1304 1605 1630 1956 2140 2269 2445 2568 3210 3260 3912 4280 4538 4890 6420 6520 6807 9076 9780 11345 12840 13614 17441 18152 19560 22690 27228 34035 34882 45380 52323 54456 68070 69764 87205 90760 104646 136140 139528 174410 209292 242783 261615 272280 348820 369847 418584 485566 523230 697640 728349 739694 971132 1046460 1109541 1213915 1456698 1479388 1849235 1942264 2092920 2219082 2427830 2913396 2958776 3641745 3698470 4438164 4855660 5547705 5826792 7283490 7396940 8876328 9711320 11095410 14566980 14793880 22190820 29133960 39573629 44381640 79147258 118720887 158294516 197868145 237441774 316589032 395736290 474883548 593604435 791472580 949767096 1187208870 1582945160 2374417740 4748835480