Search a number
-
+
1058157468 = 223261747639
BaseRepresentation
bin111111000100100…
…011001110011100
32201202002222011100
4333010203032130
54131342014333
6252555553100
735136122124
oct7704431634
92652088140
101058157468
114a3336405
1225645b790
1313b2c05a4
14a0769c84
1562d6d213
hex3f12339c

1058157468 has 36 divisors (see below), whose sum is σ = 2679178320. Its totient is φ = 352140096.

The previous prime is 1058157467. The next prime is 1058157473. The reversal of 1058157468 is 8647518501.

1058157468 is a `hidden beast` number, since 1 + 0 + 581 + 5 + 7 + 4 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10581574682 = 2239394454168342048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058157467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1608 + ... + 46031.

It is an arithmetic number, because the mean of its divisors is an integer number (74421620).

Almost surely, 21058157468 is an apocalyptic number.

1058157468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1058157468 is an abundant number, since it is smaller than the sum of its proper divisors (1621020852).

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

1058157468 is a wasteful number, since it uses less digits than its factorization.

1058157468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48266 (or 48261 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 1058157468 is about 32529.3324247517. The cubic root of 1058157468 is about 1019.0217032933.

The spelling of 1058157468 in words is "one billion, fifty-eight million, one hundred fifty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 617 1234 1851 2468 3702 5553 7404 11106 22212 47639 95278 142917 190556 285834 428751 571668 857502 1715004 29393263 58786526 88179789 117573052 176359578 264539367 352719156 529078734 1058157468