Search a number
-
+
5345415808 = 271731109727
BaseRepresentation
bin1001111101001110…
…01001001010000000
3111210112100020222021
410332213021022000
541421411301213
62242230451224
7246315166435
oct47647111200
914715306867
105345415808
1122a3391017
121052203b14
1367259b345
14389cd7b8c
15214436d8d
hex13e9c9280

5345415808 has 128 divisors (see below), whose sum is σ = 11762150400. Its totient is φ = 2408693760.

The previous prime is 5345415793. The next prime is 5345415833. The reversal of 5345415808 is 8085145435.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7352341 + ... + 7353067.

It is an arithmetic number, because the mean of its divisors is an integer number (91891800).

Almost surely, 25345415808 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 5345415808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881075200).

5345415808 is an abundant number, since it is smaller than the sum of its proper divisors (6416734592).

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

5345415808 is a wasteful number, since it uses less digits than its factorization.

5345415808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 43.

The square root of 5345415808 is about 73112.3505845627. The cubic root of 5345415808 is about 1748.4793111205.

The spelling of 5345415808 in words is "five billion, three hundred forty-five million, four hundred fifteen thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 109 124 128 136 218 248 272 436 496 527 544 727 872 992 1054 1088 1454 1744 1853 1984 2108 2176 2908 3379 3488 3706 3968 4216 5816 6758 6976 7412 8432 11632 12359 13516 13952 14824 16864 22537 23264 24718 27032 29648 33728 45074 46528 49436 54064 57443 59296 67456 79243 90148 93056 98872 108128 114886 118592 158486 180296 197744 216256 229772 237184 316972 360592 383129 395488 432512 459544 633944 721184 766258 790976 919088 1267888 1347131 1442368 1532516 1581952 1838176 2456533 2535776 2694262 2884736 3065032 3676352 4913066 5071552 5388524 6130064 7352704 9826132 10143104 10777048 12260128 19652264 21554096 24520256 39304528 41761061 43108192 49040512 78609056 83522122 86216384 157218112 167044244 172432768 314436224 334088488 668176976 1336353952 2672707904 5345415808