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5206528960 = 265192393583
BaseRepresentation
bin1001101100101010…
…10101001111000000
3111102212000002000221
410312111111033000
541130332411320
62220345552424
7243010523503
oct46625251700
914385002027
105206528960
112231a4a2a6
1210137a5714
1364c890889
143756a313a
152071503aa
hex1365553c0

5206528960 has 112 divisors (see below), whose sum is σ = 13108838400. Its totient is φ = 1964196864.

The previous prime is 5206528937. The next prime is 5206528961. The reversal of 5206528960 is 698256025.

It is a super-2 number, since 2×52065289602 = 54215887622637363200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5206528961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1451329 + ... + 1454911.

It is an arithmetic number, because the mean of its divisors is an integer number (117043200).

Almost surely, 25206528960 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 5206528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554419200).

5206528960 is an abundant number, since it is smaller than the sum of its proper divisors (7902309440).

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

5206528960 is a wasteful number, since it uses less digits than its factorization.

5206528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 5206528960 is about 72156.2815006428. The cubic root of 5206528960 is about 1733.2029895411.

The spelling of 5206528960 in words is "five billion, two hundred six million, five hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 239 304 320 380 478 608 760 956 1195 1216 1520 1912 2390 3040 3583 3824 4541 4780 6080 7166 7648 9082 9560 14332 15296 17915 18164 19120 22705 28664 35830 36328 38240 45410 57328 68077 71660 72656 76480 90820 114656 136154 143320 145312 181640 229312 272308 286640 290624 340385 363280 544616 573280 680770 726560 856337 1089232 1146560 1361540 1453120 1712674 2178464 2723080 3425348 4281685 4356928 5446160 6850696 8563370 10892320 13701392 16270403 17126740 21784640 27402784 32540806 34253480 54805568 65081612 68506960 81352015 130163224 137013920 162704030 260326448 274027840 325408060 520652896 650816120 1041305792 1301632240 2603264480 5206528960