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4881252160 = 265172930941
BaseRepresentation
bin1001000101111000…
…11111111101000000
3110121011221022011001
410202330133331000
534444100032120
62124210101344
7231650646601
oct44274377500
913534838131
104881252160
112085380aa4
12b4287a854
135ca3828b5
143443cdda8
151d87ebe0a
hex122f1ff40

4881252160 has 112 divisors (see below), whose sum is σ = 12732014160. Its totient is φ = 1774223360.

The previous prime is 4881252151. The next prime is 4881252217. The reversal of 4881252160 is 612521884.

It can be written as a sum of positive squares in 8 ways, for example, as 2509056 + 4878743104 = 1584^2 + 69848^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142290 + ... + 173230.

Almost surely, 24881252160 is an apocalyptic number.

4881252160 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 4881252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6366007080).

4881252160 is an abundant number, since it is smaller than the sum of its proper divisors (7850762000).

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

4881252160 is a wasteful number, since it uses less digits than its factorization.

4881252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31004 (or 30994 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 4881252160 is about 69865.9585205843. The cubic root of 4881252160 is about 1696.3302801055.

The spelling of 4881252160 in words is "four billion, eight hundred eighty-one million, two hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 64 68 80 85 116 136 145 160 170 232 272 290 320 340 464 493 544 580 680 928 986 1088 1160 1360 1856 1972 2320 2465 2720 3944 4640 4930 5440 7888 9280 9860 15776 19720 30941 31552 39440 61882 78880 123764 154705 157760 247528 309410 495056 525997 618820 897289 990112 1051994 1237640 1794578 1980224 2103988 2475280 2629985 3589156 4207976 4486445 4950560 5259970 7178312 8415952 8972890 9901120 10519940 14356624 15253913 16831904 17945780 21039880 28713248 30507826 33663808 35891560 42079760 57426496 61015652 71783120 76269565 84159520 122031304 143566240 152539130 168319040 244062608 287132480 305078260 488125216 610156520 976250432 1220313040 2440626080 4881252160