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5217700040 = 235737677517
BaseRepresentation
bin1001101101111111…
…11100100011001000
3111110122000121212122
410312333330203020
541141212400130
62221425230412
7243204501320
oct46677744310
914418017778
105217700040
11223828a2a3
121017492408
13651ca2497
14376d70280
1520810a2e5
hex136ffc8c8

5217700040 has 128 divisors (see below), whose sum is σ = 13987088640. Its totient is φ = 1714369536.

The previous prime is 5217700031. The next prime is 5217700049. The reversal of 5217700040 is 400077125.

It is an interprime number because it is at equal distance from previous prime (5217700031) and next prime (5217700049).

It is a junction number, because it is equal to n+sod(n) for n = 5217699982 and 5217700009.

It is not an unprimeable number, because it can be changed into a prime (5217700049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690362 + ... + 697878.

It is an arithmetic number, because the mean of its divisors is an integer number (109274130).

Almost surely, 25217700040 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 5217700040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993544320).

5217700040 is an abundant number, since it is smaller than the sum of its proper divisors (8769388600).

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

5217700040 is a wasteful number, since it uses less digits than its factorization.

5217700040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7639 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 5217700040 is about 72233.6489456264. The cubic root of 5217700040 is about 1734.4416854440.

Adding to 5217700040 its reverse (400077125), we get a palindrome (5617777165).

The spelling of 5217700040 in words is "five billion, two hundred seventeen million, seven hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 67 70 74 134 140 148 185 259 268 280 296 335 370 469 518 536 670 740 938 1036 1295 1340 1480 1876 2072 2345 2479 2590 2680 3752 4690 4958 5180 7517 9380 9916 10360 12395 15034 17353 18760 19832 24790 30068 34706 37585 49580 52619 60136 69412 75170 86765 99160 105238 138824 150340 173530 210476 263095 278129 300680 347060 420952 503639 526190 556258 694120 1007278 1052380 1112516 1390645 1946903 2014556 2104760 2225032 2518195 2781290 3525473 3893806 4029112 5036390 5562580 7050946 7787612 9734515 10072780 11125160 14101892 15575224 17627365 18634643 19469030 20145560 28203784 35254730 37269286 38938060 70509460 74538572 77876120 93173215 130442501 141018920 149077144 186346430 260885002 372692860 521770004 652212505 745385720 1043540008 1304425010 2608850020 5217700040