Search a number
-
+
1058963472 = 243273133889
BaseRepresentation
bin111111000111101…
…000000000010000
32201210121220210100
4333013220000100
54132043312342
6253025132400
735146020030
oct7707500020
92653556710
101058963472
114a3836a26
1225678a100
1313b513408
14a08d98c0
1562e7be4c
hex3f1e8010

1058963472 has 120 divisors (see below), whose sum is σ = 3496363520. Its totient is φ = 292792320.

The previous prime is 1058963471. The next prime is 1058963489. The reversal of 1058963472 is 2743698501.

1058963472 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 9 + 634 + 7 + 2 = 666.

1058963472 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10589634722 = 2242807270060589568, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

1058963472 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1058963471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14304 + ... + 48192.

It is a 1-persistent number, because it is pandigital, but 2⋅1058963472 = 2117926944 is not.

Almost surely, 21058963472 is an apocalyptic number.

1058963472 is a gapful number since it is divisible by the number (12) 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 1058963472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748181760).

1058963472 is an abundant number, since it is smaller than the sum of its proper divisors (2437400048).

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

1058963472 is a wasteful number, since it uses less digits than its factorization.

1058963472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33941 (or 33932 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1058963472 is about 32541.7189466076. The cubic root of 1058963472 is about 1019.2803689908.

The spelling of 1058963472 in words is "one billion, fifty-eight million, nine hundred sixty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 5208 7812 10416 15624 31248 33889 67778 101667 135556 203334 237223 271112 305001 406668 474446 542224 610002 711669 813336 948892 1050559 1220004 1423338 1626672 1897784 2101118 2135007 2440008 2846676 3151677 3795568 4202236 4270014 4880016 5693352 6303354 7353913 8404472 8540028 9455031 11386704 12606708 14707826 16808944 17080056 18910062 22061739 25213416 29415652 34160112 37820124 44123478 50426832 58831304 66185217 75640248 88246956 117662608 132370434 151280496 176493912 264740868 352987824 529481736 1058963472