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1058318157 = 313732511481
BaseRepresentation
bin111111000101001…
…010011101001101
32201202102010120210
4333011022131031
54131412140112
6253003233033
735140361451
oct7705123515
92652363523
101058318157
114a3436106
12256518779
1313b348780
14a07ac661
1562da0b3c
hex3f14a74d

1058318157 has 32 divisors (see below), whose sum is σ = 1547634816. Its totient is φ = 639360000.

The previous prime is 1058318147. The next prime is 1058318171. The reversal of 1058318157 is 7518138501.

It is a happy number.

It is not a de Polignac number, because 1058318157 - 27 = 1058318029 is a prime.

It is a super-2 number, since 2×10583181572 = 2240074642871753298, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058318147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713857 + ... + 715337.

It is an arithmetic number, because the mean of its divisors is an integer number (48363588).

Almost surely, 21058318157 is an apocalyptic number.

It is an amenable number.

1058318157 is a deficient number, since it is larger than the sum of its proper divisors (489316659).

1058318157 is a wasteful number, since it uses less digits than its factorization.

1058318157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821.

The product of its (nonzero) digits is 33600, while the sum is 39.

The square root of 1058318157 is about 32531.8022402694. The cubic root of 1058318157 is about 1019.0732826645.

The spelling of 1058318157 in words is "one billion, fifty-eight million, three hundred eighteen thousand, one hundred fifty-seven".

Divisors: 1 3 13 39 73 219 251 753 949 1481 2847 3263 4443 9789 18323 19253 54969 57759 108113 238199 324339 371731 714597 1115193 1405469 4216407 4832503 14497509 27136363 81409089 352772719 1058318157