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5525333240 = 2357238310337
BaseRepresentation
bin1010010010101010…
…11110010011111000
3112021001220000021212
411021111132103320
542303441130430
62312135022252
7253631362160
oct51125362370
915231800255
105525333240
1123859a7709
1210a250a988
136a094376b
143a5b6d5a0
15225125b95
hex14955e4f8

5525333240 has 128 divisors (see below), whose sum is σ = 15005813760. Its totient is φ = 1790029824.

The previous prime is 5525333227. The next prime is 5525333249. The reversal of 5525333240 is 423335255.

It is a super-4 number, since 4×55253332404 (a number of 40 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5525333197 and 5525333206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5525333249) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 529352 + ... + 539688.

It is an arithmetic number, because the mean of its divisors is an integer number (117232920).

Almost surely, 25525333240 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 5525333240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7502906880).

5525333240 is an abundant number, since it is smaller than the sum of its proper divisors (9480480520).

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

5525333240 is a wasteful number, since it uses less digits than its factorization.

5525333240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10461 (or 10457 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 32.

The square root of 5525333240 is about 74332.5853176115. The cubic root of 5525333240 is about 1767.8801736593.

Adding to 5525333240 its reverse (423335255), we get a palindrome (5948668495).

The spelling of 5525333240 in words is "five billion, five hundred twenty-five million, three hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 83 92 115 140 161 166 184 230 280 322 332 415 460 581 644 664 805 830 920 1162 1288 1610 1660 1909 2324 2905 3220 3320 3818 4648 5810 6440 7636 9545 10337 11620 13363 15272 19090 20674 23240 26726 38180 41348 51685 53452 66815 72359 76360 82696 103370 106904 133630 144718 206740 237751 267260 289436 361795 413480 475502 534520 578872 723590 857971 951004 1188755 1447180 1664257 1715942 1902008 2377510 2894360 3328514 3431884 4289855 4755020 6005797 6657028 6863768 8321285 8579710 9510040 12011594 13314056 16642570 17159420 19733333 24023188 30028985 33285140 34318840 39466666 48046376 60057970 66570280 78933332 98666665 120115940 138133331 157866664 197333330 240231880 276266662 394666660 552533324 690666655 789333320 1105066648 1381333310 2762666620 5525333240