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5251255040 = 28529241587
BaseRepresentation
bin1001110001111111…
…11100101100000000
3111112222011101200102
410320333330230000
541223310130130
62225024341532
7244062634313
oct47077745400
914488141612
105251255040
1122552186a9
1210267748a8
13658c20605
1437b5c697a
1520b037645
hex138ffcb00

5251255040 has 144 divisors (see below), whose sum is σ = 13088386080. Its totient is φ = 2016215040.

The previous prime is 5251255019. The next prime is 5251255063. The reversal of 5251255040 is 405521525.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 5251254994 and 5251255012.

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, 8945627 + ... + 8946213.

It is an arithmetic number, because the mean of its divisors is an integer number (90891570).

Almost surely, 25251255040 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 5251255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544193040).

5251255040 is an abundant number, since it is smaller than the sum of its proper divisors (7837131040).

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

5251255040 is a wasteful number, since it uses less digits than its factorization.

5251255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 29.

The square root of 5251255040 is about 72465.5438122146. The cubic root of 5251255040 is about 1738.1518051383.

Adding to 5251255040 its reverse (405521525), we get a palindrome (5656776565).

The spelling of 5251255040 in words is "five billion, two hundred fifty-one million, two hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 241 256 290 320 464 482 580 587 640 928 964 1160 1174 1205 1280 1856 1928 2320 2348 2410 2935 3712 3856 4640 4696 4820 5870 6989 7424 7712 9280 9392 9640 11740 13978 15424 17023 18560 18784 19280 23480 27956 30848 34046 34945 37120 37568 38560 46960 55912 61696 68092 69890 75136 77120 85115 93920 111824 136184 139780 141467 150272 154240 170230 187840 223648 272368 279560 282934 308480 340460 375680 447296 544736 559120 565868 680920 707335 751360 894592 1089472 1118240 1131736 1361840 1414670 1789184 2178944 2236480 2263472 2723680 2829340 4102543 4357888 4472960 4526944 5447360 5658680 8205086 8945920 9053888 10894720 11317360 16410172 18107776 20512715 21789440 22634720 32820344 36215552 41025430 45269440 65640688 82050860 90538880 131281376 164101720 181077760 262562752 328203440 525125504 656406880 1050251008 1312813760 2625627520 5251255040