Search a number
-
+
56001000444 = 2231916728807
BaseRepresentation
bin110100001001111010…
…110111001111111100
312100112210202120122120
4310021322313033330
51404142224003234
641420531442540
74021520435604
oct641172671774
9170483676576
1056001000444
1121828117554
12aa2a756450
1353860c8c6c
1429d371dc04
1516cb629049
hexd09eb73fc

56001000444 has 72 divisors (see below), whose sum is σ = 138390591360. Its totient is φ = 17576635104.

The previous prime is 56001000437. The next prime is 56001000469. The reversal of 56001000444 is 44400010065.

It is a super-2 number, since 2×560010004442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6354289 + ... + 6363095.

Almost surely, 256001000444 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 56001000444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69195295680).

56001000444 is an abundant number, since it is smaller than the sum of its proper divisors (82389590916).

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

56001000444 is a wasteful number, since it uses less digits than its factorization.

56001000444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9167 (or 8998 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 56001000444 in words is "fifty-six billion, one million, four hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 19 38 57 76 114 167 228 334 501 668 1002 2004 3173 6346 8807 9519 12692 17614 19038 26421 27889 35228 38076 52842 55778 83667 105684 111556 167333 167334 334666 334668 501999 529891 669332 1003998 1059782 1470769 1589673 2007996 2119564 2941538 3179346 4412307 5883076 6358692 8824614 17649228 27944611 55889222 83833833 111778444 167667666 245618423 335335332 491236846 736855269 982473692 1473710538 2947421076 4666750037 9333500074 14000250111 18667000148 28000500222 56001000444