Search a number
-
+
4982514680 = 23511133128099
BaseRepresentation
bin1001010001111101…
…10010001111111000
3110212020110222012202
410220332302033320
540201010432210
62142224325332
7234320450603
oct45076621770
913766428182
104982514680
112127555030
12b70773848
13615348c50
14353a2d33a
151e26509a5
hex128fb23f8

4982514680 has 128 divisors (see below), whose sum is σ = 13595904000. Its totient is φ = 1618444800.

The previous prime is 4982514557. The next prime is 4982514781. The reversal of 4982514680 is 864152894.

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, 163271 + ... + 191369.

It is an arithmetic number, because the mean of its divisors is an integer number (106218000).

Almost surely, 24982514680 is an apocalyptic number.

4982514680 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 4982514680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797952000).

4982514680 is an abundant number, since it is smaller than the sum of its proper divisors (8613389320).

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

4982514680 is a wasteful number, since it uses less digits than its factorization.

4982514680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28165 (or 28161 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The square root of 4982514680 is about 70586.9299516561. The cubic root of 4982514680 is about 1707.9803201465.

The spelling of 4982514680 in words is "four billion, nine hundred eighty-two million, five hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 31 40 44 52 55 62 65 88 104 110 124 130 143 155 220 248 260 286 310 341 403 440 520 572 620 682 715 806 1144 1240 1364 1430 1612 1705 2015 2728 2860 3224 3410 4030 4433 5720 6820 8060 8866 13640 16120 17732 22165 28099 35464 44330 56198 88660 112396 140495 177320 224792 280990 309089 365287 561980 618178 730574 871069 1123960 1236356 1461148 1545445 1742138 1826435 2472712 2922296 3090890 3484276 3652870 4018157 4355345 6181780 6968552 7305740 8036314 8710690 9581759 11323897 12363560 14611480 16072628 17421380 19163518 20090785 22647794 32145256 34842760 38327036 40181570 45295588 47908795 56619485 76654072 80363140 90591176 95817590 113238970 124562867 160726280 191635180 226477940 249125734 383270360 452955880 498251468 622814335 996502936 1245628670 2491257340 4982514680