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5432517272 = 23713109223307
BaseRepresentation
bin1010000111100110…
…11010001010011000
3112000121020110201102
411003303122022120
542111211023042
62255021410532
7251423430530
oct50363321230
915017213642
105432517272
1123385726a6
121077409a48
13687646b80
143976cc4c0
1521bddeb32
hex143cda298

5432517272 has 128 divisors (see below), whose sum is σ = 12749721600. Its totient is φ = 2112956928.

The previous prime is 5432517253. The next prime is 5432517287. The reversal of 5432517272 is 2727152345.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17695343 + ... + 17695649.

It is an arithmetic number, because the mean of its divisors is an integer number (99607200).

Almost surely, 25432517272 is an apocalyptic number.

5432517272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5432517272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374860800).

5432517272 is an abundant number, since it is smaller than the sum of its proper divisors (7317204328).

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

5432517272 is a wasteful number, since it uses less digits than its factorization.

5432517272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 661 counting only the distinct ones).

The product of its digits is 117600, while the sum is 38.

The square root of 5432517272 is about 73705.6122150817. The cubic root of 5432517272 is about 1757.9251194311.

The spelling of 5432517272 in words is "five billion, four hundred thirty-two million, five hundred seventeen thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 109 182 218 223 307 364 436 446 614 728 763 872 892 1228 1417 1526 1561 1784 2149 2456 2834 2899 3052 3122 3991 4298 5668 5798 6104 6244 7982 8596 9919 11336 11596 12488 15964 17192 19838 20293 23192 24307 27937 31928 33463 39676 40586 48614 55874 66926 68461 79352 81172 97228 111748 133852 136922 162344 170149 194456 223496 234241 267704 273844 315991 340298 435019 468482 479227 547688 631982 680596 870038 889993 936964 958454 1263964 1361192 1740076 1779986 1873928 1916908 2211937 2527928 3045133 3480152 3559972 3833816 4423874 6090266 6229951 7119944 7462249 8847748 12180532 12459902 14924498 17695496 24361064 24919804 29848996 49839608 52235743 59697992 97009237 104471486 194018474 208942972 388036948 417885944 679064659 776073896 1358129318 2716258636 5432517272