Search a number
-
+
5404636608 = 263713130697
BaseRepresentation
bin1010000100010010…
…00011010111000000
3111221122202222122020
411002021003113000
542032041332413
62252144041440
7250634440020
oct50211032700
914848688566
105404636608
11232385a528
12106a003280
13681934737
14393b11a80
15219733c23
hex1422435c0

5404636608 has 112 divisors (see below), whose sum is σ = 16467880704. Its totient is φ = 1532344320.

The previous prime is 5404636603. The next prime is 5404636631. The reversal of 5404636608 is 8066364045.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 5404636608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5404636603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160716 + ... + 191412.

Almost surely, 25404636608 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 5404636608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8233940352).

5404636608 is an abundant number, since it is smaller than the sum of its proper divisors (11063244096).

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

5404636608 is a wasteful number, since it uses less digits than its factorization.

5404636608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30850 (or 30840 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 5404636608 is about 73516.2336358440. The cubic root of 5404636608 is about 1754.9126298012.

The spelling of 5404636608 in words is "five billion, four hundred four million, six hundred thirty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 131 168 192 224 262 336 393 448 524 672 786 917 1048 1344 1572 1834 2096 2751 3144 3668 4192 5502 6288 7336 8384 11004 12576 14672 22008 25152 29344 30697 44016 58688 61394 88032 92091 122788 176064 184182 214879 245576 368364 429758 491152 644637 736728 859516 982304 1289274 1473456 1719032 1964608 2578548 2946912 3438064 4021307 5157096 5893824 6876128 8042614 10314192 12063921 13752256 16085228 20628384 24127842 28149149 32170456 41256768 48255684 56298298 64340912 84447447 96511368 112596596 128681824 168894894 193022736 225193192 257363648 337789788 386045472 450386384 675579576 772090944 900772768 1351159152 1801545536 2702318304 5404636608