Search a number
-
+
5200665432 = 2331747793433
BaseRepresentation
bin1001101011111101…
…11101101101011000
3111102102222011210020
410311332331231120
541122332243212
62220020150440
7242606632614
oct46576755530
914372864706
105200665432
112229704a06
121011838420
1364b5b9a31
143749b8344
15206892d8c
hex135fbdb58

5200665432 has 128 divisors (see below), whose sum is σ = 14241484800. Its totient is φ = 1576194048.

The previous prime is 5200665409. The next prime is 5200665433. The reversal of 5200665432 is 2345660025.

It is a junction number, because it is equal to n+sod(n) for n = 5200665393 and 5200665402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200665433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1513188 + ... + 1516620.

It is an arithmetic number, because the mean of its divisors is an integer number (111261600).

Almost surely, 25200665432 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 5200665432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7120742400).

5200665432 is an abundant number, since it is smaller than the sum of its proper divisors (9040819368).

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

5200665432 is a wasteful number, since it uses less digits than its factorization.

5200665432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 5200665432 is about 72115.6393024426. The cubic root of 5200665432 is about 1732.5521079426.

The spelling of 5200665432 in words is "five billion, two hundred million, six hundred sixty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 79 94 102 136 141 158 188 204 237 282 316 376 408 474 564 632 799 948 1128 1343 1598 1896 2397 2686 3196 3433 3713 4029 4794 5372 6392 6866 7426 8058 9588 10299 10744 11139 13732 14852 16116 19176 20598 22278 27464 29704 32232 41196 44556 58361 63121 82392 89112 116722 126242 161351 175083 189363 233444 252484 271207 322702 350166 378726 466888 484053 504968 542414 645404 700332 757452 813621 968106 1084828 1290808 1400664 1514904 1627242 1936212 2169656 2742967 3254484 3872424 4610519 5485934 6508968 8228901 9221038 10971868 12746729 13831557 16457802 18442076 21943736 25493458 27663114 32915604 36884152 38240187 50986916 55326228 65831208 76480374 101973832 110652456 152960748 216694393 305921496 433388786 650083179 866777572 1300166358 1733555144 2600332716 5200665432